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

yes

Step-by-step 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