# How do you simplify #33/sqrt99#?

##### 2 Answers

Mar 19, 2017

#### Answer:

#### Explanation:

#sqrt99=sqrt(9xx11)=sqrt9xxsqrt11=3sqrt11#

#rArr(33)/(sqrt99)=cancel(33)^(11)/(cancel(3)^1sqrt11)=11/sqrt11#

#color(blue)" Rationalising the denominator"#

#rArr11/sqrt11xxsqrt11/sqrt11#

#=(cancel(11)^1sqrt11)/cancel(11)^1#

#=sqrt11#

Mar 19, 2017

We can also do this in one fell swoop using prime factorization: