Simplify Square Root of 89389

What is the square root of 89389 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.

√89389 = A√B

Unfortunately, the square root of 89389 cannot be simplified. Thus, here is the answer to the square root of 89389 in its simplest form:

√ 89389 = √ 89389

Here are two different methods we used to determine why the square root of 89389 cannot be simplified.

1) To be able to simplify the square root of 89389, one of the factors of 89389 other than 1 must be a perfect square. The factors of 89389 are 1, 71, 1259, and 89389. Since none of these factors are perfect squares, the square root of 89389 cannot be simplified.

2) To be able to simplify the square root of 89389, all the prime factors of 89389 cannot be unique. When we did prime factorization of 89389, we found that 71 x 1259 equals 89389. Since all the prime factors are unique, the square root of 89389 cannot be simplified.

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