Simplify Square Root of 12479

What is the square root of 12479 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.

√12479 = A√B

Unfortunately, the square root of 12479 cannot be simplified. Thus, here is the answer to the square root of 12479 in its simplest form:

√ 12479 = √ 12479

Here are two different methods we used to determine why the square root of 12479 cannot be simplified.

1) To be able to simplify the square root of 12479, one of the factors of 12479 other than 1 must be a perfect square. The factors of 12479 are 1 and 12479. Since none of these factors are perfect squares, the square root of 12479 cannot be simplified.

2) To be able to simplify the square root of 12479, all the prime factors of 12479 cannot be unique. When we did prime factorization of 12479, we found that 12479 equals 12479. Since all the prime factors are unique, the square root of 12479 cannot be simplified.

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