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

1 Answer
Jul 15, 2016

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)