How do you find the square root of 32?

1 Answer
Sep 11, 2015

Answer:

The answer is #4sqrt2#.

Explanation:

#sqrt32=#

Rewrite #32# as its prime factors.

#sqrt(2xx2xx2xx2xx2)=#

Group the same factors into pairs.

#sqrt((2xx2)xx(2xx2)xx2=#

Rewrite into exponent form.

#sqrt((2^2)xx(2^2)xx2=#

#sqrt(2^2)=2#

#(2xx2)xxsqrt2=#

#4sqrt2#