Question

Help me

Write the expression in simpilist radical form.

√75k⁹ 9

Answer 1

`15k^(4) √(3k)`

Explanation:

Given :

`\sqrt{75* k^(9)*9 }`

Simplifying the radical :

`\sqrt{5^(2) * 3 * (k^(4))^(2) * k * 3^(2) }`

`5 * k^(4) * 3 √(3 * k)`

`15k^(4) √(3k)`

Answer 2

`\\ \rm\Rrightarrow √(75k^99)`

`\\ \rm\Rrightarrow √(5^2* 3k^93^2)`

`\\ \rm\Rrightarrow 5√(3)k^{(9)/(2)}* 3`

`\\ \rm\Rrightarrow 15√(3)k^{(9)/(2)}`