# What is #2sqrt3 - 3sqrt45 - sqrt27#?

##### 1 Answer

Feb 15, 2016

#=-9sqrt5 -sqrt3# #" " or " "# #-1(9sqrt5 +sqrt3)#

#### Explanation:

Simplify :

Break down the factor of 45 and 27 so that one of that factor is a perfect square.

#2sqrt3 - 3sqrt(9*5) -sqrt(9*3)#

Square root of 9 is 3 ....

#=2sqrt3 -9sqrt5 -3sqrt3#

Simply the answer ....

#=-9sqrt5 -sqrt3# #" " or " "#

#-1(9sqrt5 +sqrt3)#