What is the square root of 6 in simplest radical form?

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Jim H Share
Apr 15, 2015

The square root pf a number can be simplified only if the number is divisible by a perfect square (other than 1).

#sqrt12# can be simplified because #12# is divisible by #4# -- a perfect square.
#sqrt12 = sqrt(4xx3) = sqrt4xxsqrt3=2sqrt3#

#sqrt250# can be simplified because #250# is divisible by #25#
#sqrt250 = sqrt(25xx10)=sqrt25xxsqrt10=5sqrt10#

But #6# is not divisible by a perfect square, so #sqrt6# cannt be simpified further.

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