How do you find the square root of 32?

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Answer 1 · 2015-09-11T21:16:26

The answer is #4sqrt2#.

#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#