Simplify Square Root of 62893

What is the square root of 62893 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.

√62893 = A√B

Unfortunately, the square root of 62893 cannot be simplified. Thus, here is the answer to the square root of 62893 in its simplest form:

√ 62893 = √ 62893

Here are two different methods we used to determine why the square root of 62893 cannot be simplified.

1) To be able to simplify the square root of 62893, one of the factors of 62893 other than 1 must be a perfect square. The factors of 62893 are 1, 109, 577, and 62893. Since none of these factors are perfect squares, the square root of 62893 cannot be simplified.

2) To be able to simplify the square root of 62893, all the prime factors of 62893 cannot be unique. When we did prime factorization of 62893, we found that 109 x 577 equals 62893. Since all the prime factors are unique, the square root of 62893 cannot be simplified.

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