1.(√5+√3)(√5-√3)= 2.(√5-√3)²= 3.-1/3 (2/5-1/2(1/3-1/5)=
1. 1.(√5+√3)(√5-√3)= 2.(√5-√3)²= 3.-1/3 (2/5-1/2(1/3-1/5)=
Jawab:
1. Ingat sifat berikut
=> (x+y)(x-y) = x²-y²
Maka,
(√5+√3)(√5-√3)
= √5²-√3²
= 5-3 = 2
2. Ingat sifat berikut
=> (x-y)² = x²+y²-2xy
Maka,
(√5-√3)²
= √5²+√3²-(√5.√3)
= 5+3-√15
= 8-√15
3. -1/3 (2/5-1/2(1/3-1/5))
= -1/3 (2/5-1/2(5/15-3/15))
= -1/3 (2/5-1/2(2/15))
= -1/3 (2/5-2/30)
= -1/3 (12/30-2/30)
= -1/3 (10/30)
= -1/3 (1/3)
= -1/9
Pelajari lebih lanjut:
Rumus al jabar dan contoh soal
https://brainly.co.id/tugas/13042405
Contoh soal dan jawaban bentuk akar
https://brainly.co.id/tugas/576115
Bentuk bentuk pecahan
https://brainly.co.id/tugas/4762893
Detail jawaban:
Mapel : Matematika
Kelas : 9
Materi : Bentuk akar
Kata kunci : bentuk akar, sifat aljabar, pecahan
Kode soal : 2
Kode kategorisasi : 9.2.1
#tingkatkanprestasimu
#learnwithbrainly
2. 3 1/3×1 1/3 3 1/5×2 1/2 3 1/6×3 1/5 4 1/5×2 1/2 6 1/2×3 3/5
Penjelasan dengan langkah-langkah:
1. 10/3 × 4/3
= 40/9 = 4 4/9
2. 16/5 × 5/2
= 80/10= 8
3. 19/6 × 16/5
= 304/ 30 = 10 4/30 = 10 2/15
4. 21/5 × 5/2
= 105/10 = 10 5/10 = 10 1/2
5. 13/2 × 18/5
= 234/10 = 23 4/10 = 23 2/5
MAAF KALO SALAH
3. Berdasarkan sifat asosiatif, operasi hitung 1/5+2/3-3/5-1/3 akan sama dengana. 1/5+3/5-2/3+1/3b. 1/5-2/3+3/5-1/3c. 1/5-3/5+2/3-1/3d. 1/5+3/5-2/3+1/3
d. 1/5+3/5-2/3+1/31/5=1/31/3=3/53/5=2/3cmiiw
4. (3/4+2/5)+2/3..? 3/5+(2/3-8/15)...? 2-(3/5+1/3)...? 3+(3/4-2/6)...? (2/3+1/4)+(2/3+2/5)...?(2/3+1/4)+(2/3+2/5)...? (3/3+1/4)+(2/3+2/5)...? (2/3+4/5)-(2/5+1/3)..? 2/7×3/5=...? (1/5×2/5)×4/5..? 3/5+2/3×1/6...? 2/4-(2/3×2/5)..? 3/5:3/7...? 3/4:2/5...? 2/5:3/8...? (1/3:2/5):2/8..? 2/5:(3/5-2/5)..? (2/5:1/3×2/8...? (3/4×2/5):1/6...? 1/5×2/3×3/5...? (2/8+3/4):2/8...? (2/5×1/3)+3/4...? 3 2/5+1/4..? 2 1/3-3/8...? 2 1/4-(2/3×1/4)...? 3 3/5+(2/3:4/5)...? (2 2/5:1 3/4)×2/5...? PAKAI CARA MAAF MEREPOTKAN HHHH
[tex]1.) \: ( \frac{3}{4} + \frac{2}{5} ) + \frac{2}{3} \\ = \frac{(3 \times 15)}{4 \times 15} + \frac{(2 \times 12)}{5 \times 12} + \frac{2 \times 20}{3 \times 20} \\ = \frac{45}{60} + \frac{24}{60} + \frac{40 }{60} \\ = \frac{109}{60} = 1 \frac{49}{60} [/tex]
[tex]2.) \: \frac{3}{5} + ( \frac{2}{3} - \frac{8}{15} ) \\ = \frac{3 \times 3}{5 \times 3} + ( \frac{2 \times 5}{3 \times 5} ) - ( \frac{8}{15} ) \\ = \frac{9}{15} + \frac{10}{15} - \frac{8}{15} \\ = \frac{(9 + 10 - 8)}{15} = \frac{11}{15} [/tex]
[tex]3.) \: 2 - ( \frac{3}{5} + \frac{1}{3} ) = \frac{2}{1} - ( \frac{3}{5} ) + ( \frac{1}{3} ) \\ = \frac{2 \times 15}{1 \times 15} - ( \frac{3 \times 3}{5 \times 3} ) + ( \frac{1 \times 5}{3 \times 5} ) \\ = \frac{30}{15} - \frac{9}{15} + \frac{5}{15} \\ = \frac{(30 - 9 + 5)}{15} \\ = \frac{26}{15} = 1 \frac{11}{15} [/tex]
[tex]4.) \: 3 + ( \frac{3}{4} - \frac{2}{6} ) = \frac{3}{1} + ( \frac{3}{4} ) - ( \frac{2}{6} ) \\ = \frac{3 \times 12}{1 \times 12} + \frac{(3 \times 3)}{4 \times 3} - \frac{(2 \times 2)}{6 \times 2} \\ = \frac{36}{12} + \frac{9}{12} - \frac{4}{12} \\ = \frac{(36 + 9 - 4)}{12} \\ = \frac{41}{12} = 3 \frac{5}{12} [/tex]
[tex]5.) \: ( \frac{2}{3} + \frac{1}{4} ) + ( \frac{2}{3} + \frac{2}{5} ) \\ = ( \frac{2 \times 20}{3 \times 20} + \frac{1 \times 15}{4 \times 15} ) + ( \frac{2 \times 20}{3 \times 20} + \frac{2 \times 12}{5 \times 15} ) \\ = ( \frac{40}{60} + \frac{15}{60} ) + ( \frac{40}{60} + \frac{24}{60} ) \\ = \frac{(40 + 15 + 40 + 24)}{60} \\ = \frac{119}{60} = 1 \frac{59}{60} [/tex]
[tex]6.) \: ( \frac{2}{3} + \frac{1}{4} ) + ( \frac{2}{3} + \frac{2}{5} ) \\ = ( \frac{2 \times 20}{3 \times 20} + \frac{1 \times 15}{4 \times 15} ) + ( \frac{2 \times 20}{3 \times 20 } + \frac{2 \times 12}{5 \times 12}) \\ = ( \frac{40}{60} + \frac{15}{60} ) + ( \frac{40}{60} + \frac{24}{60} ) \\ = \frac{(40 + 15 + 40 + 24)}{60} \\ = \frac{119}{60} = 1 \frac{59}{6 0} [/tex]
[tex]7.) \: ( \frac{3}{3} + \frac{1}{4} ) + ( \frac{2}{3} + \frac{2}{5} ) \\ = ( \frac{3 \times 20}{3 \times 20} + \frac{1 \times 15}{4 \times 15} ) + ( \frac{2 \times 20}{3 \times 20} + \frac{2 \times 12}{5 \times 12} ) \\ = ( \frac{60}{60 } + \frac{15}{60} ) + ( \frac{40}{60 } + \frac{24}{60} ) \\ = \frac{(60 + 15 + 40 + 24)}{60} \\ = \frac{139}{60} = 2 \frac{19}{60} [/tex]
[tex]8.) \: ( \frac{2}{3} + \frac{4}{5} ) - ( \frac{2}{5} + \frac{1}{3} ) \\ = ( \frac{2 \times 5}{3 \times 5} + \frac{4 \times 3}{5 \times 3} ) - ( \frac{2 \times 3}{5 \times 3} + \frac{1 \times 5}{3 \times 5} ) \\ = ( \frac{10}{15} + \frac{12}{15} ) - ( \frac{6}{15} + \frac{5}{15} ) \\ = \frac{(10 + 12 - 6 + 5)}{15} \\ = \frac{21}{15} = 1 \frac{6}{15} [/tex]
[tex]9.) \: \frac{2}{7 } \times \frac{3}{5} = \frac{2 \times 3}{7 \times 5} = \frac{6}{35} [/tex]
[tex]10.) \: ( \frac{1}{5} \times \frac{2}{5} ) \times \frac{4}{5} = \frac{1 \times 2 \times 4}{5 \times 5 \times 5} = \frac{8}{125} [/tex]
[tex]11.) \: \frac{3}{5} + \frac{2}{3} \times \frac{1}{6} = \frac{3}{5} + \frac{2 \times 1}{3 \times 6} \\ = \frac{3}{5} + \frac{2}{18} \\ = \frac{3 \times 18}{5 \times 18} + \frac{2 \times 5}{18 \times 5} \\ = \frac{54}{90} + \frac{10}{90} \\ = \frac{(54 + 10)}{90} = \frac{64}{90} [/tex]
[tex]12.) \: \frac{2}{4} - ( \frac{2}{3} \times \frac{2}{5} ) = \frac{2}{4} - ( \frac{2 \times 2}{3 \times 5}) \\ = \frac{2}{4} - \frac{4}{15} \\ = \frac{2 \times 15}{4 \times 15} - \frac{4 \times 4}{15 \times 4} \\ = \frac{30}{60} - \frac{16}{60} \\ = \frac{(30 - 16)}{60} = \frac{14}{60} [/tex]
[tex]13.) \: \frac{3}{5} \div \frac{3}{7} = \frac{3 \times 7}{5 \times 3} = \frac{21}{15} = 1 \frac{6}{15} [/tex]
[tex]14.) \: \frac{3}{4} \div \frac{2}{5} = \frac{3 \times 5}{4 \times 2} = \frac{15}{8} =1 \frac{7}{8} [/tex]
[tex]15.) \: \frac{2}{5} \div \frac{3}{8} = \frac{2 \times 8}{5 \times 3} = \frac{16}{15} = 1 \frac{1}{15} [/tex]
[tex]16.) \: ( \frac{1}{3} \div \frac{2}{5} ) \div \frac{2}{8} \\ = \frac{1 \times 5 \times 8}{3 \times 2 \times 2} = \frac{40}{12} = 3 \frac{4}{12} [/tex]
[tex]17.) \: \frac{2}{5} \div ( \frac{3}{5} - \frac{2}{5} ) \\ = \frac{2 \times 5}{5 \times 3} - \frac{2}{5 } \\ = \frac{10}{15} - \frac{2}{5} \\ = \frac{10}{15} - \frac{2 \times 3}{5 \times 3} \\ = \frac{10}{15} - \frac{6}{15 } \\ = \frac{(10 - 6)}{15} = \frac{4}{15} [/tex]
5. 1) 2 1/2 : 4/5 - 3/10 = 2) 4 3/5 + 1 2/3 x 1 1/9 = 3) 10 3/5 - 5 2/5 : 1 4/5 = 4) 3 2/5 x ( 1 1/2 - 3/4 ) = 5) ( 6 3/5 + 3 3/5 ) : (3 1/2 - 1 1/4) = Tolong ya....
1. -0.175
2. 6.45185185185
3. 7.6
4. 2.55
5. 4.53333333333
6. 1. 3 1/5 + 1 3/4 = 2. 3 3/5 - 1 1/3 = 3. 1 1/2 - 2/3 = 4. 3 2/5 ÷ 1 1/2 = 5. 1,2 × 3,4 =
Penjelasan dengan langkah-langkah:
cara & jwb ada di foto
sorry kalo salah semoga membantu
7. 4 5/9 - 1 2/3 + 3 1/6 = (5 2/3 - 3 1/2):3/4 = 2 1/2 × (5 3/5 + 1 2/7) = 1 3/5 × 2 1/3 : 3/8 = 1 1/4 × 3/7 : 2/6 - 5/14 =
Jawaban:
1) 1 1/18
2) 2 8/9
3) 17 3/14
4) 9 43/45
5) 1¼
Penjelasan dengan langkah-langkah:
No. 1
4 5/9 - 1 2/3 + 3 1/6
= 41/9 - 5/3 + 19/6
= 82/18 - 30/18 + 57/18
= 52/18 + 57/18
= 109/18
= 1 1/18
No. 2
(5 2/3 - 3 1/2) : 3/4
= (17/3 - 7/2) : 3/4
= (34/6 - 21/6) : 3/4
= 13/6 : 3/4
= 13/6 × 4/3
= 52/18
= 26/9
= 2 8/9
No. 3
2 1/2 × (5 3/5 + 1 2/7)
= 5/2 × (28/5 + 9/7)
= 5/2 × (196/35 + 45/35)
= 5/2 × 241/35
= 1205/70
= 241/14
= 17 3/14
No. 4
1 3/5 × 2 1/3 : 3/8
= 8/5 × 7/3 : 3/8
= 56/15 : 3/8
= 56/15 × 8/3
= 448/45
= 9 43/45
No. 5
1 1/4 × 3/7 : 2/6 - 5/14
= 5/4 × 3/7 : 2/6 - 5/14
= 15/28 : 2/6 - 5/14
= 15/28 × 6/2 - 5/14
= 90/56 - 5/14
= 90/56 - 20/56
= 70/56
= 10/8
= 1 2/8
= 1¼
Keterangan:
Materi = Pecahan
mohon maaf sebelumnya kayaknya nomor satu dari jawaban di atas agak kurang pas...
semoga membantu ya....
8. 5 poin7. 1/2, 1/3, 2/5, 2/3 jika diurutkandari yang terkecil adalah...A. 1/3, 2/5, 1/2, 2/3B.1/2, 1/3, 2/3, 2/5C. 1/3, 2/5, 2/3, 1/2,D. 2/3, 1/2, 2/5, 1/3
Jawaban:
A.1/3, 2/5, 1/2, 2/3
Penjelasan:
1/2, 1/3, 2/5, 2/3
samakan semua penyebutnya baru diurutkan
15/30, 10/30, 12/30, 20/30
Jadi urutan dari yang terkecil
1/3, 2/5, 1/2, 2/3
maaf kalo salah smg membantu terimakasih:)
Jawaban:
A. 1/2, 1/3, 2/3, 2/5
B. 1/2, 1/3, 2/3, 2/5
C. 1/2, 1/3, 2/3, 2/5
D. 1/2, 1/3, 2/3, 2/5
Jadi Jika Di Urutkan Dari Yang Terkecil Adalah : 1/2, 1/3, 2/3, 2/5
9. 1/2, 1/3, 2/5, 2/3 jika diurutkan dari yang terkecil adalah ...2/3, 1/2, 2/5, 1/31/2, 1/3, 2/3, 2/51/3, 2/5, 2/3, 1/21/3, 2/5, 1/2, 2/38plis ya dijawab ^_^
Jawaban:
1/2 1/3 2/3 2/5
Penjelasan dengan langkah-langkah:
Semoga membantu #BelajarSamaBrainlyJawaban:
1/3, 2/5, 1/2, 2/3
maaf kl salah ya. bisa dicek lagi dengan membandingkan 2 pecahan dengan dikali silang
10. 1/2-(-1/4)+(-1/2) 3/5+(-1/2)+(-1/3) 2/3-(-1/2)-(-1/2) -3/5-1/2-1/3 2/3+(-1/3)-(-1/3)
semoga benar yaa kalo salah saya minta maaf
11. 1/3+2 3/4+2/5= 2 3/5+1 1/2+1 3/10= 3 2/5-1 3/4-1/3= 5 3/4-2 3/7-1/2=
Jawaban:
[tex] \frac{1}{3} + 2 \frac{3}{4} + \frac{2}{5} = \frac{1}{3} + \frac{11}{4} + \frac{2}{5} = \frac{20 + 165 + 24}{60} = \frac{209}{60} [/tex]
[tex]2 \frac{3}{5} + 1 \frac{1}{2} + 1 \frac{3}{10} = \frac{13}{5} + \frac{3}{2} + \frac{13}{10} = \frac{26 + 15 + 13}{10} = \frac{54}{10} = \frac{27}{5} [/tex]
[tex]3 \frac{2}{5} - 1 \frac{3}{4} - \frac{1}{3} = \frac{17}{5} - \frac{7}{4} - \frac{1}{3} = \frac{204 - 105 - 20}{60} = \frac{79}{60} [/tex]
[tex]5 \frac{3}{4} - 2 \frac{3}{7} - \frac{1}{2} = \frac{23}{4} - \frac{17}{7} - \frac{1}{2} = \frac{161 - 68 - 14}{28} = \frac{79}{28} [/tex]
Jawaban:
1) 1/3 + 2 3/4 + 2/5
1/3 + 11/4 + 2/5
4/12 + 33/12 = 37/12
37/12 + 2/5 = 185/60 + 24/60
= 209/60
= 3,483
2) 2 3/5 + 1 1/2 + 1 3/10
13/5 + 3/2 + 13/10
penyebutnya dijadikan 10 semua
26/10 + 15/10 + 13/10
=54/10
=27/5
=5,4
3) 3 2/5 - 1 3/4 - 1/3
17/5 - 7/4 - 1/3
68/20 - 35/20 = 33/20
33/20 - 1/3 (penyebutnya dijadikan 60)
=99/60 - 20/60
=79/60
4) 5 3/4 - 2 3/7 - 1/2
23/4 - 17/7 - 1/2
penyebutnya dijadikan 28
161/28 - 68/28 - 14/28
=79/28
Semoga membantu
12. 1. 1/2 + 3/5 =2. 3/4 - 1/2 =3. 3/5 *4/3 =4. 1/2 + 3/5 * 1/3=5. 1 1/5 - 1/2 : 3/4 =6. 2 5/6 + 3/2 *1/4: 3/4
Jawaban:
1. ½ + ⅗
= 5/10 + 6/10
= 11 /10
= 1 ⅒
2. ¾ - ½
= ¾ - 2/4
= 1/4
3. 3/5 x 4/3
= 12/15
= ⅘
4. (½ + ⅗) x ⅓
= (5/10 + 6/10) x ⅓
= 11/10 x 1/3
= 11/30
5. 1 ⅕ - ½ : ¾
= (7/5 - ½) : ¾
= (14/10 - 5/10) : ¾
= 9/10 : ¾
= 10/9 x ¾
= 30/ 36
= 5⅚
6. (2 ⅚ + 3/2) x (¼ : ¾)
= ( 17/6 + 3/2) x (¼ : ¾)
= ( 17/6 + 9/6) x (4/1 x ¾)
= (26/6) x (12/4)
= 13/3 x 3/1
= 39/3
= 13/1
= 13
13. 1. (4×-1) (2×+3) 2. (2×+3) (×-4) 3.(1/2×+1) (1/3×-5) 4. (2×-2) (3×-3) 5. (-5×-1) (-2×+3)
8x2 + 10x -3
2x2-5x-12
x2-13x-30
6x2-12x+6
10x2-13x-31.8xkuadrat + 12x -2x-3 = 8xkuadrat + 10x -3
2. 2xkuadrat -8x + 3x -12 = 2xkuadrar -5x -12
3. 1/6xkuadrat -5/2x + 1/3x -5 = 1/6xkuadrat -13/6x -5
4. 6xkuadrat -6x -6x +6 = 6xkuadrat -12x + 6
5. 10xkuadrat -15x + 2x -3 = 10xkuadrat -13x -3
14. 1. 3 1/3 + 3 3/5 : 4 1/2=2. 2 1/4 + 1 1/2 × 2 2/3=3. 1 2/5 + 5 1/3 × 2 1/4=4. 2 1/5 : 1 1/5 -1 1/4=
Kalau tidak jelas bilang saya
di chat
dan maaf kalau salah
15. +++1+1=2+2=3+3=4+4=5+5=×××1×1=2×2=3×3=4×4=5×5=---1-1=2-2=3-3=4-4=5-5=÷÷÷1÷1=2÷2=3÷3=4÷4=5÷5=
Jawaban:
2
4
6
8
10
1
4
9
16
25
0
0
0
0
0
1
1
1
1
1
16. 1) 2 1/4+1/3=2) 3 1/6+2 1/2 =3) 4 1/3+2 1/5=4) 3 1/3+2 1/7=5) 5 1/2+ 1/5=
Penjelasan dengan langkah-langkah:
nomer 1 =2 7/12
nomer 2 =5 2/3
nomer 3 =6 8/15
nomer 4 =5 10/21
nomer 5 =5 7/10
ini langsung jawaban
semoga membantu
Jawaban:
1). 2 7/12
2). 5 2/3
3). 6 8/15
4). 5 10/21
5). 5 7/10
Penjelasan dengan langkah-langkah:
1). 2 1/4 + 1/3 = 9/4 + 1/3
= ( 27 + 4 ) : 12
= 31/12
= 2 7/12
2). 3 1/6 + 2 1/2 = 19/4 + 5/2
= (19 + 15) : 6
= 34/6
= 5 4/6
= 5 2/3
3). 4 1/3 + 2 1/5 = 13/3 + 11/5
= (65 + 33) : 15
= 98/15
= 6 8/15
4). 3 1/3 + 2 1/7 = 10/3 + 15/7
= (70 + 45) : 21
= 115/21
= 5 10/21
5). 5 1/2 + 1/5 = 11/2 + 1/5
= (85 + 2) : 10
= 57/10
= 5 7/10
17. berdasarkan sifat komutatif pada operasi hitung 1/5+2/3-3/5-1/3 akan sama dengan......A.(1/5+3/5)-(2/3+1/3)B.(1/5-2/3)+(3/5-1/3)C.(1/5-3/5)+(2/3-1/3)D.(1/5+3/5)-(2/3-1/3)jawab ya :)
Jawaban:
D.(1/5+3/5)-(2/3-1/3)
maaf kalo salah :>
18. 1. 2/3 × 3/5 =2. 5/6 × 2/5 =3. 3. 1/4 × 1/2 =4. 3/4 × 1. 3/5 =5. 2. 1/4 × 1. 2/3 =
Jawaban:
Penjelasan ada di gambar!!
Penjelasan dengan langkah-langkah:
Semoga membantu dan bermanfaatJadikan jawaban tercerdasdan follow ya19. 2 1/3 + 3 1/2 = 3 1/2 - 2 1/3= 5 1/4 + 3 1/5=
Jawaban:
1.5 5/6
2.1 1/6
3.8 9/20
Penjelasan dengan langkah-langkah:
SEMOGAMEMBANTU
JANGANLUPAJADIKANYANGTERCERDASYAA:)
20. a. -3 1/5 - 2 1/3 + ( -3 1/4 ) - ( -4 1/5 ) = b. -3 1/3 . ( -2 1/5 ) + ( -3 1/4 ) - ( -3 2/5 ) = c. -2 1/5 + ( -3 1/4 - ( -2 1/3 ) - ( -3 2/5 ) = d. ( -3 4/5 . 2 1/3 ) - ( -3 2/5 - ( -2 1/3 ) = tolong dibantu kak yang punya ilmu lebih dan tentunya yang ikhlas.
jawabannya dek ada digambar dibwah ini ya
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