How do you simplify #sqrt(44)#?

1 Answer
Kuba Dolecki
Feb 4, 2015

The answer is #2sqrt(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*11)#

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

#2sqrt(11)#

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

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