# How do you simplify sqrt(44)?

Feb 4, 2015

The answer is $2 \sqrt{11}$.

To simplify a square root, you factor what's inside the root into perfect squares and everything else. In this case, you can factor 44
into a product of 4 and 11:

$\sqrt{44} = \sqrt{4 \cdot 11}$

4 is a perfect square, so you can take it out its root giving you the answer:

$2 \sqrt{11}$

11 is a prime number meaning you cannot factor it any further.