Question

How do you simplify `sqrt(8x^2 y)`?

Answer 1

`= 2 x sqrt ( 2 y`

Explanation:

`sqrt (8x^2y`

Simplifying `8` by prime factorisation:
`sqrt8 = sqrt(2*2*2)= sqrt(2^3)`

`sqrt (8x^2y) = sqrt (2^3 x^2y`

`= sqrt (color(blue)(2^2) * 2 * color(blue)( x^2) * y`

`= color(blue)(2 * x) sqrt ( 2 * y`

`= 2 x sqrt ( 2 y`