How do you simplify: #sqrt(99)#?

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Answer 1 · 2015-08-03T14:14:38

I think you can write it as #3sqrt(11)#

You can write it as:
#sqrt(9*11)=sqrt(9)sqrt(11)=3sqrt(11)#

Answer 2 · 2015-08-03T14:15:08

#=color(blue)(3sqrt11#

We can prime factorise #99# to simplify the expression:

#99# is expressed as a product of its prime factors.

#sqrt99 = sqrt(3*3*11)#

#=sqrt(3^2 *11)#

#=color(blue)(3sqrt11#