Simplify Square Root of 42298

What is the square root of 42298 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.

√42298 = A√B

Unfortunately, the square root of 42298 cannot be simplified. Thus, here is the answer to the square root of 42298 in its simplest form:

√ 42298 = √ 42298

Here are two different methods we used to determine why the square root of 42298 cannot be simplified.

1) To be able to simplify the square root of 42298, one of the factors of 42298 other than 1 must be a perfect square. The factors of 42298 are 1, 2, 21149, and 42298. Since none of these factors are perfect squares, the square root of 42298 cannot be simplified.

2) To be able to simplify the square root of 42298, all the prime factors of 42298 cannot be unique. When we did prime factorization of 42298, we found that 2 x 21149 equals 42298. Since all the prime factors are unique, the square root of 42298 cannot be simplified.

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