Simplify Square Root of 6126

What is the square root of 6126 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.

√6126 = A√B

Unfortunately, the square root of 6126 cannot be simplified. Thus, here is the answer to the square root of 6126 in its simplest form:

√ 6126 = √ 6126

Here are two different methods we used to determine why the square root of 6126 cannot be simplified.

1) To be able to simplify the square root of 6126, one of the factors of 6126 other than 1 must be a perfect square. The factors of 6126 are 1, 2, 3, 6, 1021, 2042, 3063, and 6126. Since none of these factors are perfect squares, the square root of 6126 cannot be simplified.

2) To be able to simplify the square root of 6126, all the prime factors of 6126 cannot be unique. When we did prime factorization of 6126, we found that 2 x 3 x 1021 equals 6126. Since all the prime factors are unique, the square root of 6126 cannot be simplified.

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