Question

Is the simplified form of 2 square root of 3⋅square root of 12 rational?

Answer 1

yes

Explanation:

2 sqrt(3) * sqrt(12)

Rewriting sqrt(12) as sqrt(4 *3)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(12) = sqrt(4) sqrt(3) = 2 sqrt(3)

2 sqrt(3) * sqrt(12) = 2 sqrt(3) * 2 sqrt(3)

=4 * (sqrt(3) )^3

= 4 *3

=12