Simplify Square Root of 92098

What is the square root of 92098 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.

√92098 = A√B

Unfortunately, the square root of 92098 cannot be simplified. Thus, here is the answer to the square root of 92098 in its simplest form:

√ 92098 = √ 92098

Here are two different methods we used to determine why the square root of 92098 cannot be simplified.

1) To be able to simplify the square root of 92098, one of the factors of 92098 other than 1 must be a perfect square. The factors of 92098 are 1, 2, 46049, and 92098. Since none of these factors are perfect squares, the square root of 92098 cannot be simplified.

2) To be able to simplify the square root of 92098, all the prime factors of 92098 cannot be unique. When we did prime factorization of 92098, we found that 2 x 46049 equals 92098. Since all the prime factors are unique, the square root of 92098 cannot be simplified.

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