Simplify Square Root of 87254

What is the square root of 87254 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.

√87254 = A√B

Unfortunately, the square root of 87254 cannot be simplified. Thus, here is the answer to the square root of 87254 in its simplest form:

√ 87254 = √ 87254

Here are two different methods we used to determine why the square root of 87254 cannot be simplified.

1) To be able to simplify the square root of 87254, one of the factors of 87254 other than 1 must be a perfect square. The factors of 87254 are 1, 2, 43627, and 87254. Since none of these factors are perfect squares, the square root of 87254 cannot be simplified.

2) To be able to simplify the square root of 87254, all the prime factors of 87254 cannot be unique. When we did prime factorization of 87254, we found that 2 x 43627 equals 87254. Since all the prime factors are unique, the square root of 87254 cannot be simplified.

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