How do you simplify #3sqrt18-2sqrt2#?

1 Answer
Alan P.
Feb 22, 2017

#3sqrt(18)-2sqrt(2)=color(green)(7sqrt(2))#

Explanation:

Note that #18 = 3^2 * 2#
So #sqrt(18)=3sqrt(2)#

Therefore
#color(white)("XXX")3sqrt(18)-2sqrt(2)#

#color(white)("XXXXX")= 3 * 3sqrt(2)-2sqrt(2)#

#color(white)("XXXXX")=9sqrt(2)-2sqrt(2)#

#color(white)("XXXXX")=(9-2)sqrt(2)#

#color(white)("XXXXX")=7sqrt(2)#

Related questions
See all questions in Addition and Subtraction of Radicals
Impact of this question
1326 views around the world
You can reuse this answer
Creative Commons License