What is the exact value for the expression the square root of 56. − the square root of 14. + the square root of 126.? Simplify if possible.

the square root of 14.
4 the square root of 14.
2 the square root of 42.
8 the square root of 42.

Question

What is the exact value for the expression the square root of 56. − the square root of 14. + the square root of 126.? Simplify if possible.

 the square root of 14.
 4 the square root of 14.
 2 the square root of 42.
 8 the square root of 42.

anonymous · Answer

@jigglypuff314  @welshfella  @tkhunny

tkhunny · Answer

Do NOT post without showing your work.

$\sqrt{56} - \sqrt{14} + \sqrt{126}$

Look for perfect squares in the Prime Factorization of each number.  Go!

anonymous · Answer

i don't know how to type out all of the work but i got C

tkhunny · Answer

Well, then you'll just have to go with that.  I think you CAN type it out.

56 = 2*28 = 2*2*14 = 2*2*2*7

Are you SURE you can't do that?