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

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Answer 1 · 2018-07-09T18:25:05

#8sqrt2#

#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!