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

2 Answers
Alan P. · Tony B
Jul 27, 2016

#color(green)(7sqrt(2))#

Explanation:

#sqrt(18)=sqrt(3^2 * 2) = 3sqrt(2)#

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

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

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

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

Tony B · Alan P.
Jul 27, 2016

#7sqrt(2)#

Explanation:

#18=2xx9 = 2xx3^2#

Write as:#" "3sqrt(2xx3^2)-2sqrt(2)#

#=>9sqrt(2)-2sqrt(2)#

#= 7sqrt(2)#

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