Q: How is 6 square root of 2 the square root of 72?

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Well, there technically is not a way to simplify the square root of 2, but the simplified version of the square root of 72 is 6 square root 2

The square root of 72 is equivalent to 6 times the square root of 2.

36

6 root 2 or 8.485281374

0.0278

sqrt(72) = sqrt(36*2) = sqrt(36)*sqrt(2) = 6*sqrt(2).

72

Answer is 6. 72 is 36 x 2. Sqrt 36 is 6, so sqrt 72 is 6 x sqrt 2. Dividing this by sqrt 2 leaves 6.

sqrt(72) = 6 sqrt(2)

6 *sqrt(2)

6√2

6√2

6√2

sqrt(72) = sqrt(36*2) = sqrt(36)*sqrt(2) = 6*sqrt(2).

72

square root 6

The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).

It is the square root of 8

Square root of 6

6

6(square root of)3

It is 5/6*sqrt(3).

Given the phrasing of your question, that could be a matter of debate.First, the square root of 72 is actually 8.48528137, at least that is accurate to within 1/10,000,000th.As far as "simplest" goes, that is the answer.There is a concept of a "simplified radical form" that you may actually mean.If so, the answer is 6 times the square root of 2. This represents the fact of 36 times 2 equalling 72, and six being the square root of 36. The square root of 2 starts out as 1.414 and is by no definition "simple", so we simply say "six times the square root of two" as opposed to "six times 1.414...forever in a non-repeating way".6 root 2

sqrt 6 = sqrt 2 x sqrt 3

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