What's the square root of 50 +square root of 32?

1 Answer
Jun 2, 2018

Answer:

#9sqrt2#

Explanation:

We have the following:

#color(blue)(sqrt50)+color(lime)(sqrt32)#

The blue expression can be rewritten as

#color(blue)(sqrt(25*2)=5sqrt2)#

and the green expression can be rewritten as

#color(lime)(sqrt(16*2)=4sqrt2)#

Now, we have the following:

#5sqrt2+4sqrt2#

Both terms have a #sqrt2# in common, so we can factor that out. We get

#sqrt2(5+4)#

#9sqrt2#

Hope this helps!