Simplify Square Root of 99901

What is the square root of 99901 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.

√99901 = A√B

Unfortunately, the square root of 99901 cannot be simplified. Thus, here is the answer to the square root of 99901 in its simplest form:

√ 99901 = √ 99901

Here are two different methods we used to determine why the square root of 99901 cannot be simplified.

1) To be able to simplify the square root of 99901, one of the factors of 99901 other than 1 must be a perfect square. The factors of 99901 are 1 and 99901. Since none of these factors are perfect squares, the square root of 99901 cannot be simplified.

2) To be able to simplify the square root of 99901, all the prime factors of 99901 cannot be unique. When we did prime factorization of 99901, we found that 99901 equals 99901. Since all the prime factors are unique, the square root of 99901 cannot be simplified.

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