Simplify Square Root of 88862

What is the square root of 88862 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.

√88862 = A√B

Unfortunately, the square root of 88862 cannot be simplified. Thus, here is the answer to the square root of 88862 in its simplest form:

√ 88862 = √ 88862

Here are two different methods we used to determine why the square root of 88862 cannot be simplified.

1) To be able to simplify the square root of 88862, one of the factors of 88862 other than 1 must be a perfect square. The factors of 88862 are 1, 2, 157, 283, 314, 566, 44431, and 88862. Since none of these factors are perfect squares, the square root of 88862 cannot be simplified.

2) To be able to simplify the square root of 88862, all the prime factors of 88862 cannot be unique. When we did prime factorization of 88862, we found that 2 x 157 x 283 equals 88862. Since all the prime factors are unique, the square root of 88862 cannot be simplified.

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