Simplify Square Root of 17243

What is the square root of 17243 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.

√17243 = A√B

Unfortunately, the square root of 17243 cannot be simplified. Thus, here is the answer to the square root of 17243 in its simplest form:

√ 17243 = √ 17243

Here are two different methods we used to determine why the square root of 17243 cannot be simplified.

1) To be able to simplify the square root of 17243, one of the factors of 17243 other than 1 must be a perfect square. The factors of 17243 are 1, 43, 401, and 17243. Since none of these factors are perfect squares, the square root of 17243 cannot be simplified.

2) To be able to simplify the square root of 17243, all the prime factors of 17243 cannot be unique. When we did prime factorization of 17243, we found that 43 x 401 equals 17243. Since all the prime factors are unique, the square root of 17243 cannot be simplified.

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