Simplify Square Root of 83998

What is the square root of 83998 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.

√83998 = A√B

Unfortunately, the square root of 83998 cannot be simplified. Thus, here is the answer to the square root of 83998 in its simplest form:

√ 83998 = √ 83998

Here are two different methods we used to determine why the square root of 83998 cannot be simplified.

1) To be able to simplify the square root of 83998, one of the factors of 83998 other than 1 must be a perfect square. The factors of 83998 are 1, 2, 41999, and 83998. Since none of these factors are perfect squares, the square root of 83998 cannot be simplified.

2) To be able to simplify the square root of 83998, all the prime factors of 83998 cannot be unique. When we did prime factorization of 83998, we found that 2 x 41999 equals 83998. Since all the prime factors are unique, the square root of 83998 cannot be simplified.

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