Question

How do you simplify `sqrt(2a^2b) times sqrt(4a^2)`?

Answer 1

`sqrt(2a^2 b) xx sqrt(4a^2)=2a^2 sqrt(2b)`

Explanation:

Square Roots distribute across multiplication, that is to say:
`sqrt(ab) = sqrt(a)xxsqrt(b)`

Knowing this, it's easy to see where we can simplify the given equation:
`sqrt(2a^2 b) xx sqrt(4a^2)`
`= sqrt(a^2)xxsqrt(2b) xx sqrt(4)xxsqrt(a^2)`
`= axxsqrt(2b)xx2xxa`
`=2a^2 sqrt(2b)`