Question

Qual a raíz sextupla de 18000

Answer 1

Resposta:

$5\sqrt{5}$

Explicação passo-a-passo:

Answer 2

18000|2

9000|2

4500|2

2250|2

1125|3

375|3

125|5

25|5

5|5

1

$\sqrt[6]{18000}=\sqrt[6]{{2}^{4}.{3}^{2}. {5}^{3}}\\=\sqrt[6\div2]{{2}^{4\div2}}.\sqrt[6\div2]{{3}^{2\div2}}.\sqrt[6\div3]{{5}^{3\div3}}$

$\sqrt[6]{18000}=\sqrt[3]{4}.\sqrt[3]{3}.\sqrt{5}$