Question

simplifique:
✓81
³✓1000
³✓27
✓8
✓72
✓75
✓98

Answer 1

Resposta:

Explicação passo-a-passo:

✓81=

fatorando 81

81|3

27|3

9|3

3|3

1

$3^4=3^2*3^2$=81

aplicando

$\sqrt{81}=\sqrt{3^2*3^2}=3*3=9$

³✓1000

$\sqrt[3]{1000}=\sqrt[3]{10^3}=10$

³✓27

$\sqrt[3]{27}=\sqrt[3]{3^3}=3$

✓8

$\sqrt{8}=\sqrt{2^2*2}=2\sqrt{2}$

✓72

$\sqrt{72}=\sqrt{9*8}=2\sqrt{3^2*2^2*2}=3*2\sqrt{2}=6\sqrt{2}$

✓75

$\sqrt{75}=\sqrt{3*25}=2\sqrt{3*5^2}=5\sqrt{3}$

✓98

98|2

49|7

7|7

1

$\sqrt{98}=\sqrt{7^2*2}=7\sqrt{2}$

Answer 2

Explicação passo-a-passo:

simplifique:  

✓81  = ✓(9* 9) = 9

³✓1000  = ³✓(10 * 10 * 10) = 10

³✓27  = ³✓(3 * 3 * 3) = 3

✓8  = ✓(2 * 2 * 2) = 2✓2

✓72  = ✓(35 * 2) = 6✓2

✓75  = ✓(25 * 3) = 5✓3

✓98 = ✓(49 * 2) = 7✓2