What is the square root of 6 in simplest radical form?
February 20th, 2023
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.