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

B-
`\sqrt(56)-\sqrt(14)+\sqrt(126)=14.966`

Explanation:

Given equation : square root of 56 − the square root of 14 + the square root of 126 or
`\sqrt(56)-\sqrt(14)+\sqrt(126)`

Solution of the equation :

`\sqrt(56)-\sqrt(14)+\sqrt(126)`

=
`2\sqrt(14)-\sqrt(14)+3\sqrt(14)`

=
`\sqrt(14)(2-1+3)`

=
`4\sqrt(14)`

=14.966

Now,

• square root of 14 =√14 =3.741

• 4 the square root of 14 = 4√14 = 14.966

• 2 the square root of 42= 2√42 = 12.961

• 8 the square root of 42 = 8√42= 51.845

Therefore, Option B is correct

Answer 2

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)
The right answer will be B.