Simplify Square Root of 58945

What is the square root of 58945 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.

√58945 = A√B

Unfortunately, the square root of 58945 cannot be simplified. Thus, here is the answer to the square root of 58945 in its simplest form:

√ 58945 = √ 58945

Here are two different methods we used to determine why the square root of 58945 cannot be simplified.

1) To be able to simplify the square root of 58945, one of the factors of 58945 other than 1 must be a perfect square. The factors of 58945 are 1, 5, 11789, and 58945. Since none of these factors are perfect squares, the square root of 58945 cannot be simplified.

2) To be able to simplify the square root of 58945, all the prime factors of 58945 cannot be unique. When we did prime factorization of 58945, we found that 5 x 11789 equals 58945. Since all the prime factors are unique, the square root of 58945 cannot be simplified.

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