# How do you simplify #\sqrt { 225x ^ { 18} y ^ { 22} }#?

##### 2 Answers

Dec 11, 2016

#### Explanation:

Recall :

Dec 11, 2016

#### Explanation:

Note that:

#225x^18y^22 = 15^2*(x^9)^2*(y^11)^2 = (15x^9y^11)^2#

So

We also find:

#(-15x^9y^11)^2 = 225x^18y^22#

So

Note that if

So if, for example,

We can express that we want the non-negative square root by taking the modulus:

#sqrt(225x^18y^22) = abs(15x^9y^11)#