How do you simplify #sqrt 8 + sqrt 15#?

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Answer 1 · 2018-07-19T22:11:40

#2sqrt2+sqrt15#

Let's see if we can factor a perfect square out of the radicals.

We can rewrite this expression as

#sqrt(4*2)+sqrt(5*3)#

This simplifies to

#2sqrt2+color(blue)(sqrt(5*3))#

Since there are no perfect square factors in #3# or #5#, the blue expression would be most simplified as #sqrt15#.

#2sqrt2+sqrt15#

Hope this helps!