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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

User Bondrak
by
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2 Answers

3 votes
The answer is

12 * √(2)


User Kaslico
by
8.9k points
5 votes

Answer:

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.

User FoJjen
by
8.0k points