Simplify Square Root of 63229

What is the square root of 63229 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.

√63229 = A√B

Unfortunately, the square root of 63229 cannot be simplified. Thus, here is the answer to the square root of 63229 in its simplest form:

√ 63229 = √ 63229

Here are two different methods we used to determine why the square root of 63229 cannot be simplified.

1) To be able to simplify the square root of 63229, one of the factors of 63229 other than 1 must be a perfect square. The factors of 63229 are 1, 53, 1193, and 63229. Since none of these factors are perfect squares, the square root of 63229 cannot be simplified.

2) To be able to simplify the square root of 63229, all the prime factors of 63229 cannot be unique. When we did prime factorization of 63229, we found that 53 x 1193 equals 63229. Since all the prime factors are unique, the square root of 63229 cannot be simplified.

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