What is #4sqrt45 -sqrt75#?

1 Answer
Jan 26, 2016

#12sqrt(5) - 5sqrt(3)~~35.493#

Explanation:

Factor the numbers under the square root signs the find any possible squares and any possible common factors.

#4sqrt(45) - sqrt(75)#
#=4sqrt(3*3*5) - sqrt(3*5*5)#

#=12sqrt(5) - 5sqrt(3)#

#~~12*2236 -5*1.732#
#~~35.493#