Question 148369
36 is a perfect square, so its square root is 6.  54 is not a perfect square, so here is how we find its square root.


Pick two factors of 54, perferably one that is a perfect square:

9 and 6


Find the square roots of those

3 and {{{sqrt(6)}}}.


Multiply them by each other

{{{3sqrt(6)}}}.



So {{{sqrt(54)}}}={{{3sqrt(6)}}}.


Multiply {{{3sqrt(6)}}} by 6 and get {{{18sqrt(6)}}}.