Question

What is the exact value of the expression the square root of 72 − the square root of 8 + the square root of 128?

Simplify if possible. (1 point)

Select one:
a. 8the square root of 2
b. 12the square root of 2
c. 8the square root of 3
d. 12the square root of 3

Answer 1

The answer is

`12 * √(2)`

Answer 2

Option B is correct.

Explanation:

Given Expression is
`√(72)-√(8)+√(128)`

Simplify the given expression,

72 = 2 × 2 × 2 × 3 × 3 ⇒ √72 = 6√2

8 = 2 × 2 × 2 ⇒ √8 = 2√2

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 ⇒ √128 = 8√2

⇒
`√(72)-√(8)+√(128)=6√(2)-2√(2)+8√(2)`

`=12√(2)`

Therefore, Option B is correct.