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Dimas [21]
3 years ago
8

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

Mathematics
2 answers:
kotykmax [81]3 years ago
7 0
The answer is
12 \times  \sqrt{2}


Romashka [77]3 years ago
4 0

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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