Simplify Square Root of 61186

What is the square root of 61186 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.

√61186 = A√B

Unfortunately, the square root of 61186 cannot be simplified. Thus, here is the answer to the square root of 61186 in its simplest form:

√ 61186 = √ 61186

Here are two different methods we used to determine why the square root of 61186 cannot be simplified.

1) To be able to simplify the square root of 61186, one of the factors of 61186 other than 1 must be a perfect square. The factors of 61186 are 1, 2, 30593, and 61186. Since none of these factors are perfect squares, the square root of 61186 cannot be simplified.

2) To be able to simplify the square root of 61186, all the prime factors of 61186 cannot be unique. When we did prime factorization of 61186, we found that 2 x 30593 equals 61186. Since all the prime factors are unique, the square root of 61186 cannot be simplified.

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