Simplify Square Root of 99733

What is the square root of 99733 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.

√99733 = A√B

Unfortunately, the square root of 99733 cannot be simplified. Thus, here is the answer to the square root of 99733 in its simplest form:

√ 99733 = √ 99733

Here are two different methods we used to determine why the square root of 99733 cannot be simplified.

1) To be able to simplify the square root of 99733, one of the factors of 99733 other than 1 must be a perfect square. The factors of 99733 are 1 and 99733. Since none of these factors are perfect squares, the square root of 99733 cannot be simplified.

2) To be able to simplify the square root of 99733, all the prime factors of 99733 cannot be unique. When we did prime factorization of 99733, we found that 99733 equals 99733. Since all the prime factors are unique, the square root of 99733 cannot be simplified.

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