Question

1) Escreva sob a forma de radical e resolva:
a) 64 1^2
b) 400 1^2
c) 8 2^3
d) (16) 1^2
(23)
e) 100 ^0,5
f) 625 ^0,25
g) 32 1^5
h) (8) 1^3
(27)

Answer 1

a)

$\sqrt[2]{64 {}^{1} } = \sqrt{64} = 8$

b)

$\sqrt[2]{400 {}^{1} } = \sqrt{400} = 20$

c)

$\sqrt[3]{8 {}^{2} } = \sqrt[3]{2 {}^{3} \times 2 {}^{3} } = 2 \times 2 = 4$

d)

$\sqrt[2]{16 {}^{1} } = \sqrt{16} = 4$

e)

$100 {}^{0.5} = 100 {}^{ \frac{1}{2} } = \sqrt[2]{100 {}^{1} } = \sqrt{100} = 10$

f)

$625 {}^{0.25} = 625 {}^{ \frac{1}{4} } = \sqrt[4]{625} = \sqrt[4]{5 {}^{4} } = 5$

g)

$32 {}^{ \frac{1}{5} } = \sqrt[5]{32 {}^{1} } = \sqrt[5]{2 {}^{5} } = 2$

h)

$\sqrt[3]{8 {}^{1} } = \sqrt[3]{2 {}^{3} } = 2$