How do you simplify #3 (sqrt 48)-12 (sqrt 75) + 4 (sqrt 12)#?

1 Answer
Alan P.
Jul 25, 2016

#3sqrt(48)-12sqrt(75)+4sqrt(12)=color(brown)(-40sqrt(3)#

Explanation:

#48 = 4^2*sqrt(3)#
#color(white)("XXXXXXXX")rarr color(red)(3sqrt(48)=color(white)("XXX")12sqrt(3))#
#75= 5^2*3#
#color(white)("XXXXXXXX")rarr color(blue)(-12sqrt(75)=-60sqrt(3)#
#12=2^2*3#
#color(white)("XXXXXXXX")rarr color(green)(4sqrt(12)=color(white)("XXXX")underline(8sqrt(3)))#

#rArr color(red)(3sqrt(48))color(blue)(-12sqrt(75))+color(green)(4sqrt(12)) = -40sqrt(3)#

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