Question

Which expression is another way to write 3 radical 125 x^4?

Answer 1

The given expression is

$3\sqrt{125x^4}$

We have to write it in a different way and for that, we have to check the factors of 125 and x^4 .

And factors of 125 are 25 and 5.

$3\sqrt{25*5*(x^2)^2}$

Radical 25 equals to 5 and radical $x^4$   is  $x^2$.

So we will get

$3*5x^2 \sqrt{5} = 15x^2 \sqrt{5}$

And that's the another way to write the given expression .