What is the square root of 12 times the square root of 3?

1 Answer
Alan P.
Sep 11, 2015

(Assuming only principal [non-negative] square roots
#sqrt(12)xxsqrt(3) = 6#

Explanation:

#sqrt(12) = sqrt(2^2xx3) = sqrt(2^2)xxsqrt(3) = 2sqrt(3)#

So #sqrt(12)xxsqrt(3)#
#color(white)("XXX")=2sqrt(3)xxsqrt(3)#

#color(white)("XXX")=(2xx sqrt(3))xxsqrt(3))#

#color(white)("XXX")=2xx (sqrt(3)xxsqrt(3))#

#color(white)("XXX")=2xx3#

#color(white)("XXX")=6#

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