How do you simplify #5 sqrt 72 + sqrt 75- sqrt 288#?

1 Answer
Jan 5, 2016

Answer:

#=18sqrt(2) +5sqrt(3)#

Explanation:

Break each number down into its factors
#5sqrt(72) + sqrt(75) - sqrt(288))#
#= 5sqrt(6*6*2) + sqrt(5*5*3) - sqrt(12*12*2)#
You can then take out the numbers which are duplicated, as for example #sqrt(12*12)# is #12#
#=5*6sqrt(2) +5sqrt(3) - 12sqrt(2)#
#=30sqrt(2) - 12sqrt(2) + 5sqrt(3)#
#=18sqrt(2) +5sqrt(3)#