Simplify Square Root of 80113

What is the square root of 80113 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.

√80113 = A√B

Unfortunately, the square root of 80113 cannot be simplified. Thus, here is the answer to the square root of 80113 in its simplest form:

√ 80113 = √ 80113

Here are two different methods we used to determine why the square root of 80113 cannot be simplified.

1) To be able to simplify the square root of 80113, one of the factors of 80113 other than 1 must be a perfect square. The factors of 80113 are 1, 11, 7283, and 80113. Since none of these factors are perfect squares, the square root of 80113 cannot be simplified.

2) To be able to simplify the square root of 80113, all the prime factors of 80113 cannot be unique. When we did prime factorization of 80113, we found that 11 x 7283 equals 80113. Since all the prime factors are unique, the square root of 80113 cannot be simplified.

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