Simplify Square Root of 36202

What is the square root of 36202 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.

√36202 = A√B

Unfortunately, the square root of 36202 cannot be simplified. Thus, here is the answer to the square root of 36202 in its simplest form:

√ 36202 = √ 36202

Here are two different methods we used to determine why the square root of 36202 cannot be simplified.

1) To be able to simplify the square root of 36202, one of the factors of 36202 other than 1 must be a perfect square. The factors of 36202 are 1, 2, 23, 46, 787, 1574, 18101, and 36202. Since none of these factors are perfect squares, the square root of 36202 cannot be simplified.

2) To be able to simplify the square root of 36202, all the prime factors of 36202 cannot be unique. When we did prime factorization of 36202, we found that 2 x 23 x 787 equals 36202. Since all the prime factors are unique, the square root of 36202 cannot be simplified.

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