Question

How do you simplify `8\sqrt { 50c ^ { 6} }`?

Answer 1

The answer is `40sqrt(2)c^3`.

Explanation:

`sqrtn=n^(1/2)`

Using this, rewrite the variable as `8*(50c^6)^(1/2)`

Since `(a^n)^(1/m)=a^(n/m)`,

`:.8*sqrt(50)c^(6/2)`

`=8*5sqrt(2)c^3`

`=40sqrt(2)c^3`. (Answer).