Simplify Square Root of 25979

What is the square root of 25979 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.

√25979 = A√B

Unfortunately, the square root of 25979 cannot be simplified. Thus, here is the answer to the square root of 25979 in its simplest form:

√ 25979 = √ 25979

Here are two different methods we used to determine why the square root of 25979 cannot be simplified.

1) To be able to simplify the square root of 25979, one of the factors of 25979 other than 1 must be a perfect square. The factors of 25979 are 1, 83, 313, and 25979. Since none of these factors are perfect squares, the square root of 25979 cannot be simplified.

2) To be able to simplify the square root of 25979, all the prime factors of 25979 cannot be unique. When we did prime factorization of 25979, we found that 83 x 313 equals 25979. Since all the prime factors are unique, the square root of 25979 cannot be simplified.

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