Simplify Square Root of 98678

What is the square root of 98678 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.

√98678 = A√B

Unfortunately, the square root of 98678 cannot be simplified. Thus, here is the answer to the square root of 98678 in its simplest form:

√ 98678 = √ 98678

Here are two different methods we used to determine why the square root of 98678 cannot be simplified.

1) To be able to simplify the square root of 98678, one of the factors of 98678 other than 1 must be a perfect square. The factors of 98678 are 1, 2, 49339, and 98678. Since none of these factors are perfect squares, the square root of 98678 cannot be simplified.

2) To be able to simplify the square root of 98678, all the prime factors of 98678 cannot be unique. When we did prime factorization of 98678, we found that 2 x 49339 equals 98678. Since all the prime factors are unique, the square root of 98678 cannot be simplified.

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