Simplify Square Root of 11698

What is the square root of 11698 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.

√11698 = A√B

Unfortunately, the square root of 11698 cannot be simplified. Thus, here is the answer to the square root of 11698 in its simplest form:

√ 11698 = √ 11698

Here are two different methods we used to determine why the square root of 11698 cannot be simplified.

1) To be able to simplify the square root of 11698, one of the factors of 11698 other than 1 must be a perfect square. The factors of 11698 are 1, 2, 5849, and 11698. Since none of these factors are perfect squares, the square root of 11698 cannot be simplified.

2) To be able to simplify the square root of 11698, all the prime factors of 11698 cannot be unique. When we did prime factorization of 11698, we found that 2 x 5849 equals 11698. Since all the prime factors are unique, the square root of 11698 cannot be simplified.

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