Simplify Square Root of 951

What is the square root of 951 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.

√951 = A√B

Unfortunately, the square root of 951 cannot be simplified. Thus, here is the answer to the square root of 951 in its simplest form:

√ 951 = √ 951

Here are two different methods we used to determine why the square root of 951 cannot be simplified.

1) To be able to simplify the square root of 951, one of the factors of 951 other than 1 must be a perfect square. The factors of 951 are 1, 3, 317, and 951. Since none of these factors are perfect squares, the square root of 951 cannot be simplified.

2) To be able to simplify the square root of 951, all the prime factors of 951 cannot be unique. When we did prime factorization of 951, we found that 3 x 317 equals 951. Since all the prime factors are unique, the square root of 951 cannot be simplified.

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