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.

Verified Answer :

Factor a square root of 14 out of every expression to get:

\(\sqrt{14}*(\sqrt{4}-1+\sqrt{9)\)

\(\sqrt{14}*(2-1+3)\)

\(4*\sqrt{14}\)

Thus, the expression is equal to four times the square-root of 14.  The second answer is correct.