How do you solve #3\sqrt { 2} ( 5\sqrt { 3} - 2\sqrt { 2} )#?

1 Answer
Anjali G
Nov 27, 2016

#3sqrt2(5sqrt3-2sqrt2)#

First, distribute the #3sqrt2# to each term inside the parentheses by multiplying:
#=(3sqrt2)(5sqrt3)-(3sqrt2)(2sqrt2)#

Multiply the constants, and multiply the square roots:
#=(15sqrt6)-(6sqrt4)#

Simplify:
#=15sqrt6-6*2#

#=15sqrt6-12#

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