Simplify Square Root of 74207

What is the square root of 74207 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.

√74207 = A√B

Unfortunately, the square root of 74207 cannot be simplified. Thus, here is the answer to the square root of 74207 in its simplest form:

√ 74207 = √ 74207

Here are two different methods we used to determine why the square root of 74207 cannot be simplified.

1) To be able to simplify the square root of 74207, one of the factors of 74207 other than 1 must be a perfect square. The factors of 74207 are 1, 7, 10601, and 74207. Since none of these factors are perfect squares, the square root of 74207 cannot be simplified.

2) To be able to simplify the square root of 74207, all the prime factors of 74207 cannot be unique. When we did prime factorization of 74207, we found that 7 x 10601 equals 74207. Since all the prime factors are unique, the square root of 74207 cannot be simplified.

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