Simplify Square Root of 87573

What is the square root of 87573 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.

√87573 = A√B

Unfortunately, the square root of 87573 cannot be simplified. Thus, here is the answer to the square root of 87573 in its simplest form:

√ 87573 = √ 87573

Here are two different methods we used to determine why the square root of 87573 cannot be simplified.

1) To be able to simplify the square root of 87573, one of the factors of 87573 other than 1 must be a perfect square. The factors of 87573 are 1, 3, 29191, and 87573. Since none of these factors are perfect squares, the square root of 87573 cannot be simplified.

2) To be able to simplify the square root of 87573, all the prime factors of 87573 cannot be unique. When we did prime factorization of 87573, we found that 3 x 29191 equals 87573. Since all the prime factors are unique, the square root of 87573 cannot be simplified.

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