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.

Answer 1

sqr root of 56 - sqr root of 14 + sqr root of 126
= sqr root of (4x14) - sqr root of 14 + sqr root of (9x14)
= 2(sqr root of 14) - (sqr root of 14) + 3(sqr root of 14)
= 4(sqr root of 14)