Simplify Square Root of 617

What is the square root of 617 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.

√617 = A√B

Unfortunately, the square root of 617 cannot be simplified. Thus, here is the answer to the square root of 617 in its simplest form:

√ 617 = √ 617

Here are two different methods we used to determine why the square root of 617 cannot be simplified.

1) To be able to simplify the square root of 617, one of the factors of 617 other than 1 must be a perfect square. The factors of 617 are 1 and 617. Since none of these factors are perfect squares, the square root of 617 cannot be simplified.

2) To be able to simplify the square root of 617, all the prime factors of 617 cannot be unique. When we did prime factorization of 617, we found that 617 equals 617. Since all the prime factors are unique, the square root of 617 cannot be simplified.

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