Simplify Square Root of 79757

What is the square root of 79757 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.

√79757 = A√B

Unfortunately, the square root of 79757 cannot be simplified. Thus, here is the answer to the square root of 79757 in its simplest form:

√ 79757 = √ 79757

Here are two different methods we used to determine why the square root of 79757 cannot be simplified.

1) To be able to simplify the square root of 79757, one of the factors of 79757 other than 1 must be a perfect square. The factors of 79757 are 1 and 79757. Since none of these factors are perfect squares, the square root of 79757 cannot be simplified.

2) To be able to simplify the square root of 79757, all the prime factors of 79757 cannot be unique. When we did prime factorization of 79757, we found that 79757 equals 79757. Since all the prime factors are unique, the square root of 79757 cannot be simplified.

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