Simplify Square Root of 76355

What is the square root of 76355 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.

√76355 = A√B

Unfortunately, the square root of 76355 cannot be simplified. Thus, here is the answer to the square root of 76355 in its simplest form:

√ 76355 = √ 76355

Here are two different methods we used to determine why the square root of 76355 cannot be simplified.

1) To be able to simplify the square root of 76355, one of the factors of 76355 other than 1 must be a perfect square. The factors of 76355 are 1, 5, 15271, and 76355. Since none of these factors are perfect squares, the square root of 76355 cannot be simplified.

2) To be able to simplify the square root of 76355, all the prime factors of 76355 cannot be unique. When we did prime factorization of 76355, we found that 5 x 15271 equals 76355. Since all the prime factors are unique, the square root of 76355 cannot be simplified.

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