Question

Simplifique
$a)\sqrt[3]{10 {}^{5} } \: \: \: \: \: \: \: \: \: \: \: \: \: b)\sqrt{90} \: \: c) \: \: \: \: \: \: \sqrt[3]{1000} \: \: \: \: \: \: \: d) \sqrt{288}$
​

Answer 1

a)

$\sqrt[3]{{10}^{5}} = \sqrt[3]{ {10}^{3} \times {10}^{2} } = 10 \sqrt[3]{ {10}^{2} } = \\ 10 \sqrt[3]{100}$

b)

$\sqrt{90} = \sqrt{9 \times 10} = \\ 3 \sqrt{10}$

c)

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

d)

$\sqrt{288} = \sqrt{144 \times 2} = \sqrt{ {12}^{2} \times 2 } = \\ 12 \sqrt{2}$