Question

coloque os radicais
$\sqrt[6]{5} \sqrt[15]{30} \sqrt[10]{10} \sqrt[5]{3} \sqrt[3]{2}$
em ordem crescente​

Answer 1

Olá, tire o MMC de 3,5,6,10 e 15

3,5,6,10,15 | 2

3,5,3,5,15 | 3

1,5,1,5,5 | 5

1,1,1,1,1

2x3x5= 30

$\sqrt[6]{5}^{30}= {5}^ \frac{30}{6}={5}^{5} \\ \sqrt[15]{30}^{30}= {30}^{ \frac{30}{15} }={30}^{2} \\ \sqrt[10]{10}^{30}={10}^{ \frac{30}{10} }={10}^{3} \\ \sqrt[5]{3}^{30}={3}^{ \frac{30}{5} }={3}^{6} \\ \sqrt[3]{2}^{30}= {2}^{ \frac{30}{3} }={2}^{10}$

3^6= 729
30^2= 900
10^3= 1000
2^10= 1024
5^5= 3125