Simplify Square Root of 92366

What is the square root of 92366 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.

√92366 = A√B

Unfortunately, the square root of 92366 cannot be simplified. Thus, here is the answer to the square root of 92366 in its simplest form:

√ 92366 = √ 92366

Here are two different methods we used to determine why the square root of 92366 cannot be simplified.

1) To be able to simplify the square root of 92366, one of the factors of 92366 other than 1 must be a perfect square. The factors of 92366 are 1, 2, 46183, and 92366. Since none of these factors are perfect squares, the square root of 92366 cannot be simplified.

2) To be able to simplify the square root of 92366, all the prime factors of 92366 cannot be unique. When we did prime factorization of 92366, we found that 2 x 46183 equals 92366. Since all the prime factors are unique, the square root of 92366 cannot be simplified.

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