Simplify Square Root of 37297

What is the square root of 37297 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.

√37297 = A√B

Unfortunately, the square root of 37297 cannot be simplified. Thus, here is the answer to the square root of 37297 in its simplest form:

√ 37297 = √ 37297

Here are two different methods we used to determine why the square root of 37297 cannot be simplified.

1) To be able to simplify the square root of 37297, one of the factors of 37297 other than 1 must be a perfect square. The factors of 37297 are 1, 13, 19, 151, 247, 1963, 2869, and 37297. Since none of these factors are perfect squares, the square root of 37297 cannot be simplified.

2) To be able to simplify the square root of 37297, all the prime factors of 37297 cannot be unique. When we did prime factorization of 37297, we found that 13 x 19 x 151 equals 37297. Since all the prime factors are unique, the square root of 37297 cannot be simplified.

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