Simplify Square Root of 98273

What is the square root of 98273 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.

√98273 = A√B

Unfortunately, the square root of 98273 cannot be simplified. Thus, here is the answer to the square root of 98273 in its simplest form:

√ 98273 = √ 98273

Here are two different methods we used to determine why the square root of 98273 cannot be simplified.

1) To be able to simplify the square root of 98273, one of the factors of 98273 other than 1 must be a perfect square. The factors of 98273 are 1, 7, 101, 139, 707, 973, 14039, and 98273. Since none of these factors are perfect squares, the square root of 98273 cannot be simplified.

2) To be able to simplify the square root of 98273, all the prime factors of 98273 cannot be unique. When we did prime factorization of 98273, we found that 7 x 101 x 139 equals 98273. Since all the prime factors are unique, the square root of 98273 cannot be simplified.

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