Simplify Square Root of 99726

What is the square root of 99726 in its simplest radical form? To be more specific, we have created an illustration below showing what we want to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) as small as possible.

√99726 = A√B

Unfortunately, the square root of 99726 cannot be simplified. Thus, here is the answer to the square root of 99726 in its simplest form:

√ 99726 = √ 99726

Here are two different methods we used to determine why the square root of 99726 cannot be simplified.

1) To be able to simplify the square root of 99726, one of the factors of 99726 other than 1 must be a perfect square. The factors of 99726 are 1, 2, 3, 6, 11, 22, 33, 66, 1511, 3022, 4533, 9066, 16621, 33242, 49863, and 99726. Since none of these factors are perfect squares, the square root of 99726 cannot be simplified.

2) To be able to simplify the square root of 99726, all the prime factors of 99726 cannot be unique. When we did prime factorization of 99726, we found that 2 x 3 x 11 x 1511 equals 99726. Since all the prime factors are unique, the square root of 99726 cannot be simplified.

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