How do you simplify the square root of 40?

1 Answer
Sep 16, 2015

Answer:

#2sqrt10#

Explanation:

#sqrt40#

Write the prime factors for #40#.

#sqrt(2xx2xx2xx5)#

Group the same prime factors into pairs.

#sqrt((2xx2)xx2xx5)#

Rewrite #(2xx2)# in exponent form.

#sqrt(2^2xx2xx5)#

Apply the rule #sqrt(x^2)=x#

#sqrt(2^2)=2#

Simplify.

#2sqrt(2xx5)#

Simplify.

#2sqrt10#