# How do you simplify the radical: sqrt12sqrt10?

Apr 7, 2015

The answer is $2 \sqrt{30}$.

$\sqrt{12} \sqrt{10}$

$\sqrt{10}$ cannot be further simplified, as it is the $\sqrt{2 \times 5}$, both of which are prime numbers.

$\sqrt{12} = \sqrt{4 \times 3} = 2 \sqrt{3}$
The square root of 4 is 2, and 3 is a prime number, so cannot be further simplified.

$\sqrt{12} \sqrt{10}$ =

$2 \sqrt{3} \cdot \sqrt{10}$ =

$2 \sqrt{30}$