Simplify Square Root of 88726

What is the square root of 88726 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.

√88726 = A√B

Unfortunately, the square root of 88726 cannot be simplified. Thus, here is the answer to the square root of 88726 in its simplest form:

√ 88726 = √ 88726

Here are two different methods we used to determine why the square root of 88726 cannot be simplified.

1) To be able to simplify the square root of 88726, one of the factors of 88726 other than 1 must be a perfect square. The factors of 88726 are 1, 2, 11, 22, 37, 74, 109, 218, 407, 814, 1199, 2398, 4033, 8066, 44363, and 88726. Since none of these factors are perfect squares, the square root of 88726 cannot be simplified.

2) To be able to simplify the square root of 88726, all the prime factors of 88726 cannot be unique. When we did prime factorization of 88726, we found that 2 x 11 x 37 x 109 equals 88726. Since all the prime factors are unique, the square root of 88726 cannot be simplified.

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