Question

resolva as radiciação: A) 10 / 3√5
C) 1 / RAIZ CUBICA 4

Answer 1

Olá,

$\tt \: a) \: \frac{10}{3 \sqrt{5} } \\ \tt \: = \frac{10}{3 \sqrt{5} } \cdot \frac{ \sqrt{5} }{ \sqrt{5} } \\ \tt \: = \frac{10 \sqrt{5} }{3 \cdot \: 5} \\ \tt = \frac{ \cancel{10} \: {}^{2} \sqrt{5} }{3 \cdot \cancel{5}} \\ \tt \: = \frac{2 \sqrt{5} }{3}$

$\tt \: c) \: \frac{1}{ \sqrt[3]{4} } \\ \tt = \frac{1}{ \sqrt[3]{4} } \cdot \: \frac{ \sqrt[3]{ {4}^{2} } }{ \sqrt[3]{ {4}^{2} } } \\ \tt = \frac{ \sqrt[3]{ {4}^{2} } }{ \sqrt[3]{4} \: \sqrt[3]{ {4}^{2} } } \\ \tt = \frac{ \sqrt[3]{ {4}^{2} } }{ \sqrt[3]{4 \cdot \: {4}^{2} } } \\ \tt = \frac{ \sqrt[3]{ {4}^{2} } }{ \sqrt[3]{ {4}^{3} } } \\ \tt = \frac{ \sqrt[3]{( {2}^{2} {)}^{2} } }{ \sqrt[ \cancel3]{ {4}^{ \cancel3} } } \\ \tt = \frac{\sqrt[3]{ {2}^{4} }}{4} \\ \tt = \frac{ \sqrt[ 3]{ {2}^{3} \cdot \: 2} }{4} \\ \tt = \frac{ \sqrt[3]{ {2}^{3} } \sqrt[3]{2} }{4} \\ \tt = \frac{2 \sqrt[3]{2} }{4} \\ \tt = \frac{ \sqrt[3]{2} }{2}$