Question

Simplifique os radicais a seguir:

Answer 1

Ok, Vamos la!

a)
$\sqrt{10 {}^{3} } = \sqrt{ {10}^{2} \times {10}^{1} } = 10 \sqrt{10}$
b)
$\sqrt[3]{ {5}^{4} } = \sqrt[3]{ {5}^{3} \times {5}^{1} } = 5 \sqrt[3]{5}$
c)
$\sqrt[4]{ {7}^{5} } = \sqrt[4]{ {7}^{4} \times {7}^{1} } = 7 \sqrt[4]{7}$
d)
$\sqrt[4]{ {a}^{9} } = \sqrt[4]{ {a}^{4} \times {a}^{4} \times {a}^{1} } = 2a \sqrt[4]{a}$
e)
$\sqrt[3]{ {x}^{7} } = \sqrt[3]{ { {x}^{3} } \times {x}^{3} \times {x}^{1} } = 2x \sqrt[3]{x}$
f)
$\sqrt[3]{ {m}^{8} } = \sqrt[3]{ {m}^{3} \times {m}^{3} \times {m}^{2} } = 2m \sqrt[3]{ {m}^{2} }$
Espero ter ajudado.