Simplify Square Root of 63163

What is the square root of 63163 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.

√63163 = A√B

Unfortunately, the square root of 63163 cannot be simplified. Thus, here is the answer to the square root of 63163 in its simplest form:

√ 63163 = √ 63163

Here are two different methods we used to determine why the square root of 63163 cannot be simplified.

1) To be able to simplify the square root of 63163, one of the factors of 63163 other than 1 must be a perfect square. The factors of 63163 are 1, 83, 761, and 63163. Since none of these factors are perfect squares, the square root of 63163 cannot be simplified.

2) To be able to simplify the square root of 63163, all the prime factors of 63163 cannot be unique. When we did prime factorization of 63163, we found that 83 x 761 equals 63163. Since all the prime factors are unique, the square root of 63163 cannot be simplified.

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