Simplify Square Root of 92942

What is the square root of 92942 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.

√92942 = A√B

Unfortunately, the square root of 92942 cannot be simplified. Thus, here is the answer to the square root of 92942 in its simplest form:

√ 92942 = √ 92942

Here are two different methods we used to determine why the square root of 92942 cannot be simplified.

1) To be able to simplify the square root of 92942, one of the factors of 92942 other than 1 must be a perfect square. The factors of 92942 are 1, 2, 46471, and 92942. Since none of these factors are perfect squares, the square root of 92942 cannot be simplified.

2) To be able to simplify the square root of 92942, all the prime factors of 92942 cannot be unique. When we did prime factorization of 92942, we found that 2 x 46471 equals 92942. Since all the prime factors are unique, the square root of 92942 cannot be simplified.

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