Question

How do you simplify `sqrt( 144s^14)`??

Answer 1

`12s^7`

Explanation:

Given: `sqrt(144s^14)`

Use the radical rule: `sqrt(m*n) = sqrt(m) * sqrt(n)`

`sqrt(144s^14) = sqrt(144)sqrt(s^14) = 12sqrt(s^14)`

Use the exponent rule: `x^(m+n) =x^m * x^n`

`s^14 = s^(7+7) = s^7s^7`

`12sqrt(s^14) = sqrt(s^7 * s^7) = 12s^7`