Simplify Square Root of 98661

What is the square root of 98661 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.

√98661 = A√B

Unfortunately, the square root of 98661 cannot be simplified. Thus, here is the answer to the square root of 98661 in its simplest form:

√ 98661 = √ 98661

Here are two different methods we used to determine why the square root of 98661 cannot be simplified.

1) To be able to simplify the square root of 98661, one of the factors of 98661 other than 1 must be a perfect square. The factors of 98661 are 1, 3, 32887, and 98661. Since none of these factors are perfect squares, the square root of 98661 cannot be simplified.

2) To be able to simplify the square root of 98661, all the prime factors of 98661 cannot be unique. When we did prime factorization of 98661, we found that 3 x 32887 equals 98661. Since all the prime factors are unique, the square root of 98661 cannot be simplified.

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