sweetkiwi1010
Answered

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:

A8the square root of 2
B12the square root of 2
C8the square root of 3
D12the square root of 3

Verified Answer :

AlbertThomas

The answer is
\(12 \times \sqrt{2}\)

Answer:

Option B is correct.

Step-by-step explanation:

Given Expression is \(\sqrt{72}-\sqrt{8}+\sqrt{128}\)

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

⇒  \(\sqrt{72}-\sqrt{8}+\sqrt{128}=6\sqrt{2}-2\sqrt{2}+8\sqrt{2}\)

    \(=12\sqrt{2}\)

Therefore, Option B is correct.

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