Simplify Square Root of 99791

What is the square root of 99791 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.

√99791 = A√B

Unfortunately, the square root of 99791 cannot be simplified. Thus, here is the answer to the square root of 99791 in its simplest form:

√ 99791 = √ 99791

Here are two different methods we used to determine why the square root of 99791 cannot be simplified.

1) To be able to simplify the square root of 99791, one of the factors of 99791 other than 1 must be a perfect square. The factors of 99791 are 1, 73, 1367, and 99791. Since none of these factors are perfect squares, the square root of 99791 cannot be simplified.

2) To be able to simplify the square root of 99791, all the prime factors of 99791 cannot be unique. When we did prime factorization of 99791, we found that 73 x 1367 equals 99791. Since all the prime factors are unique, the square root of 99791 cannot be simplified.

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