What is the square root of 50 + square root of 18?

1 Answer
Jul 9, 2018

Answer:

#8sqrt2#

Explanation:

#50# is the same thing as #25*2#, and #18# is the same as #9*2#. Writing the radicals in this way allows us to factor out a perfect square.

We have:

#sqrt(25*2)+sqrt(9*2)#

Which simplifies to

#5sqrt2+3sqrt2#

Since these both have #sqrt2# as a factor, we can add them to get

#8sqrt2#

Hope this helps!