Question

Simplify: 6√25³
$simplify : \sqrt[6]{ {25}^{3} }$
Help help.​

Answer 1

$\\ \tt\longmapsto \sqrt[6]{25^3}$

$\\ \tt\longmapsto \sqrt[6]{(5^2)^3}$

$\\ \tt\longmapsto \sqrt[6]{5^6}$

• m√a^m=a

$\\ \tt\longmapsto 5$

Hope I helped

Answer 2

Explanation:

Given that: ⁶√(25)³

= (25³)^1/6 {since, n√a = a^1/n}

= 25^(3*1/6) {since, (a^m)^n = a^(mn)}

In power 3 will cancel 6 in two times.

so,

= (25)^1/2 {since, 25 = 5*5 = 5²}

= (5²)^1/2 {since, (a^m)^n = a^(mn)

= 5^(2*1/2)

In power 2 wI'll cancel 2 in one time.

= 5^1 = 5

Therefore, ⁶√(25)³ = 5Ans.