Question

simplifique os radicais:

a) ¹⁰√2⁵
b) ²¹√3⁷
c) ¹⁵√32

com a equação​

Answer 1

$\left(\sqrt[10]{2}\right)^5\\\\=\left(2^{\frac{1}{10}}\right)^5\\\\=2^{\frac{1}{10}\cdot \:5}\\\\=2^{\frac{1}{2}}\\\\=\sqrt{2}$

$\left(\sqrt[21]{3}\right)^7\\\\=\left(3^{\frac{1}{21}}\right)^7\\\\=3^{\frac{1}{21}\cdot \:7}\\\\=3^{\frac{1}{3}}\\\\=\sqrt[3]{3}$

 

$\sqrt[15]{32} \\\\=\sqrt[15]{2^5}\\\\\sqrt[15]{2^5}=2^{5\cdot \frac{1}{15}}=\sqrt[3]{2}\\\\=\sqrt[3]{2}$

Answer 2

Resposta:

• kk ia responder mais sou do 4 ano