Simplify Square Root of 619

What is the square root of 619 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.

√619 = A√B

Unfortunately, the square root of 619 cannot be simplified. Thus, here is the answer to the square root of 619 in its simplest form:

√ 619 = √ 619

Here are two different methods we used to determine why the square root of 619 cannot be simplified.

1) To be able to simplify the square root of 619, one of the factors of 619 other than 1 must be a perfect square. The factors of 619 are 1 and 619. Since none of these factors are perfect squares, the square root of 619 cannot be simplified.

2) To be able to simplify the square root of 619, all the prime factors of 619 cannot be unique. When we did prime factorization of 619, we found that 619 equals 619. Since all the prime factors are unique, the square root of 619 cannot be simplified.

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