Simplify Square Root of 87470

What is the square root of 87470 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.

√87470 = A√B

Unfortunately, the square root of 87470 cannot be simplified. Thus, here is the answer to the square root of 87470 in its simplest form:

√ 87470 = √ 87470

Here are two different methods we used to determine why the square root of 87470 cannot be simplified.

1) To be able to simplify the square root of 87470, one of the factors of 87470 other than 1 must be a perfect square. The factors of 87470 are 1, 2, 5, 10, 8747, 17494, 43735, and 87470. Since none of these factors are perfect squares, the square root of 87470 cannot be simplified.

2) To be able to simplify the square root of 87470, all the prime factors of 87470 cannot be unique. When we did prime factorization of 87470, we found that 2 x 5 x 8747 equals 87470. Since all the prime factors are unique, the square root of 87470 cannot be simplified.

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