Find the square-root of

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answer is C.

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Detailed Solution

Concept: When a number (A) is multiplied by itself, the result is the number's square-root (A) . One can use the prime factorization technique to determine the square root of one. Make pairs of the same factors by determining the number's prime factors. Each pair's factor should be written down and multiplied. This item is the necessary square-root.
We must first simplify the fraction to its simplest form.
In order to do this, we divide the numerator and denominator numbers into their prime factors.
We know that

and

so we can write-

Make the pair of related factors so that they are both the same and have the same number.
In this case, we can see that

and

are two pairs in the numerator with both factors being equal in the pairs.
And a pair of these equal factors

are included in the denominator as well.
So we can write-

Afterward, subtract a factor from each pair from the square-root.

Finding the product of the factors derived from each pair of factors by multiplying the factors. The square-root of the provided fraction is this product.

Hence, the correct answer is option 3)

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