How do you simplify 1/3 sqrt 541354?

1 Answer
Oct 2, 2016

=sqrt6=6

Explanation:

5454 is not a square number, but before you reach fora calculator, find its prime factors first.

1/3sqrt54 = 1/3sqrt(2xx3xx3xx3) = 1/3sqrt(2xx3xx(3xx3))1354=132×3×3×3=132×3×(3×3)

There is a square in the factors, so we can simplify something!

=1/3 xx3sqrt6=13×36

=sqrt6=6