Simplify Square Root of 87487

What is the square root of 87487 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.

√87487 = A√B

Unfortunately, the square root of 87487 cannot be simplified. Thus, here is the answer to the square root of 87487 in its simplest form:

√ 87487 = √ 87487

Here are two different methods we used to determine why the square root of 87487 cannot be simplified.

1) To be able to simplify the square root of 87487, one of the factors of 87487 other than 1 must be a perfect square. The factors of 87487 are 1, 89, 983, and 87487. Since none of these factors are perfect squares, the square root of 87487 cannot be simplified.

2) To be able to simplify the square root of 87487, all the prime factors of 87487 cannot be unique. When we did prime factorization of 87487, we found that 89 x 983 equals 87487. Since all the prime factors are unique, the square root of 87487 cannot be simplified.

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