Simplify Square Root of 87389

What is the square root of 87389 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.

√87389 = A√B

Unfortunately, the square root of 87389 cannot be simplified. Thus, here is the answer to the square root of 87389 in its simplest form:

√ 87389 = √ 87389

Here are two different methods we used to determine why the square root of 87389 cannot be simplified.

1) To be able to simplify the square root of 87389, one of the factors of 87389 other than 1 must be a perfect square. The factors of 87389 are 1, 31, 2819, and 87389. Since none of these factors are perfect squares, the square root of 87389 cannot be simplified.

2) To be able to simplify the square root of 87389, all the prime factors of 87389 cannot be unique. When we did prime factorization of 87389, we found that 31 x 2819 equals 87389. Since all the prime factors are unique, the square root of 87389 cannot be simplified.

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