Question

How do you simplify `sqrt(150x^2y)`?

Answer 1

`sqrt(150x^2y) = 5abs(x)sqrt(6y)`

Explanation:

If `a, b >= 0` then `sqrt(ab) = sqrt(a)sqrt(b)`

Note also that `sqrt(x^2) = abs(x)` for any Real number `x`

So:

`sqrt(150x^2y) = sqrt(25*6*x^2*y)=sqrt(5^2)*sqrt(6x^2y) = 5sqrt(6x^2y)`

`= 5sqrt(x^2)sqrt(6y) = 5abs(x)sqrt(6y)`