Simplify Square Root of 17123

What is the square root of 17123 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.

√17123 = A√B

Unfortunately, the square root of 17123 cannot be simplified. Thus, here is the answer to the square root of 17123 in its simplest form:

√ 17123 = √ 17123

Here are two different methods we used to determine why the square root of 17123 cannot be simplified.

1) To be able to simplify the square root of 17123, one of the factors of 17123 other than 1 must be a perfect square. The factors of 17123 are 1 and 17123. Since none of these factors are perfect squares, the square root of 17123 cannot be simplified.

2) To be able to simplify the square root of 17123, all the prime factors of 17123 cannot be unique. When we did prime factorization of 17123, we found that 17123 equals 17123. Since all the prime factors are unique, the square root of 17123 cannot be simplified.

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