Simplify Square Root of 63095

What is the square root of 63095 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.

√63095 = A√B

Unfortunately, the square root of 63095 cannot be simplified. Thus, here is the answer to the square root of 63095 in its simplest form:

√ 63095 = √ 63095

Here are two different methods we used to determine why the square root of 63095 cannot be simplified.

1) To be able to simplify the square root of 63095, one of the factors of 63095 other than 1 must be a perfect square. The factors of 63095 are 1, 5, 12619, and 63095. Since none of these factors are perfect squares, the square root of 63095 cannot be simplified.

2) To be able to simplify the square root of 63095, all the prime factors of 63095 cannot be unique. When we did prime factorization of 63095, we found that 5 x 12619 equals 63095. Since all the prime factors are unique, the square root of 63095 cannot be simplified.

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