Simplify Square Root of 17489

What is the square root of 17489 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.

√17489 = A√B

Unfortunately, the square root of 17489 cannot be simplified. Thus, here is the answer to the square root of 17489 in its simplest form:

√ 17489 = √ 17489

Here are two different methods we used to determine why the square root of 17489 cannot be simplified.

1) To be able to simplify the square root of 17489, one of the factors of 17489 other than 1 must be a perfect square. The factors of 17489 are 1 and 17489. Since none of these factors are perfect squares, the square root of 17489 cannot be simplified.

2) To be able to simplify the square root of 17489, all the prime factors of 17489 cannot be unique. When we did prime factorization of 17489, we found that 17489 equals 17489. Since all the prime factors are unique, the square root of 17489 cannot be simplified.

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