Simplify Square Root of 88529

What is the square root of 88529 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.

√88529 = A√B

Unfortunately, the square root of 88529 cannot be simplified. Thus, here is the answer to the square root of 88529 in its simplest form:

√ 88529 = √ 88529

Here are two different methods we used to determine why the square root of 88529 cannot be simplified.

1) To be able to simplify the square root of 88529, one of the factors of 88529 other than 1 must be a perfect square. The factors of 88529 are 1, 7, 12647, and 88529. Since none of these factors are perfect squares, the square root of 88529 cannot be simplified.

2) To be able to simplify the square root of 88529, all the prime factors of 88529 cannot be unique. When we did prime factorization of 88529, we found that 7 x 12647 equals 88529. Since all the prime factors are unique, the square root of 88529 cannot be simplified.

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