Question

gente me ajudem, é pra simplificar os radicais​

Answer 1

Resposta:

a)

$\sqrt[3]{27 {x}^{6} } = \\ \sqrt[3]{27} . \sqrt[3]{ {x}^{6} } = \\ 3. {x}^{ \frac{6}{3} } = \\ 3 {x}^{2}$

b)

$\sqrt{400 {y}^{8} } = \\ \sqrt{400} . \sqrt{ {y}^{8} } = \\ 20. {y}^{ \frac{8}{2} } = \\ 20 {y}^{4}$

c)

$\sqrt{169 {x}^{4} } = \\ \sqrt{169}. \sqrt{ {x}^{4} } = \\ 13. {x}^{ \frac{4}{2} } = \\ 13 {x}^{2}$

d)

$\sqrt{81 {m}^{8} {n}^{2} } = \\ \sqrt{81} . \sqrt{ {m}^{8} } . \sqrt{ {n}^{2} } = \\ 9. {m}^{ \frac{8}{2} } . {n}^{ \frac{2}{2} } = \\ 9 {m}^{4} n$

e)

$\sqrt{196 {a}^{2} } = \\ \sqrt{196} . \sqrt{ {a}^{2} } = \\ 14. {a}^{ \frac{2}{2} } = \\ 14a$