How do you simplify #sqrt(32)#?

1 Answer
Feb 3, 2016

Answer:

#sqrt 32=4sqrt2#

Explanation:

#sqrt 32#

Write the prime factors for #32#.

#sqrt32=sqrt(2xx2xx2xx2xx2)#

Divide the factors into pairs.

#sqrt 32=sqrt((2xx2)xx(2xx2)xx2))#

Simplify.

#sqrt 32=sqrt(2^2xx2^2xx2)#

Apply the square root rule #sqrt(a^2)=a#.

#sqrt 32=2xx2sqrt2#

Simplify.

#sqrt 32=4sqrt2#