Simplify Square Root of 99535

What is the square root of 99535 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.

√99535 = A√B

Unfortunately, the square root of 99535 cannot be simplified. Thus, here is the answer to the square root of 99535 in its simplest form:

√ 99535 = √ 99535

Here are two different methods we used to determine why the square root of 99535 cannot be simplified.

1) To be able to simplify the square root of 99535, one of the factors of 99535 other than 1 must be a perfect square. The factors of 99535 are 1, 5, 17, 85, 1171, 5855, 19907, and 99535. Since none of these factors are perfect squares, the square root of 99535 cannot be simplified.

2) To be able to simplify the square root of 99535, all the prime factors of 99535 cannot be unique. When we did prime factorization of 99535, we found that 5 x 17 x 1171 equals 99535. Since all the prime factors are unique, the square root of 99535 cannot be simplified.

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