thank you, Scott or whomever

Question

simplify the square root if 108

ok.

I got 9x12
which then prime factorization = 2.2.3.3.3

then

i get it means the square root of 2.2.3.3.3
but then i get stuck

thank you

Answer 1

well you already have

sqrt( 2^2 * 3^2 * 3 )

= 2*3 * sqrt 3

= 6 sqrt 3

Answer 2

I still don't get the end part

Answer 3

well
sqrt (2^2) = sqrt 4 = 2
sqrt (3^2) = sqrt 9 = 3
sqrt 3 = sqrt 3

in general
sqrt (a^2 b^2) = a b

Answer 4

remember sqrt 36 = 6
sqrt ( 6*6 ) = 6
sqrt (6^2) = 6

all the same written differently