Simplify Square Root of 88951

What is the square root of 88951 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.

√88951 = A√B

Unfortunately, the square root of 88951 cannot be simplified. Thus, here is the answer to the square root of 88951 in its simplest form:

√ 88951 = √ 88951

Here are two different methods we used to determine why the square root of 88951 cannot be simplified.

1) To be able to simplify the square root of 88951, one of the factors of 88951 other than 1 must be a perfect square. The factors of 88951 are 1 and 88951. Since none of these factors are perfect squares, the square root of 88951 cannot be simplified.

2) To be able to simplify the square root of 88951, all the prime factors of 88951 cannot be unique. When we did prime factorization of 88951, we found that 88951 equals 88951. Since all the prime factors are unique, the square root of 88951 cannot be simplified.

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