Simplify Square Root of 12481

What is the square root of 12481 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.

√12481 = A√B

Unfortunately, the square root of 12481 cannot be simplified. Thus, here is the answer to the square root of 12481 in its simplest form:

√ 12481 = √ 12481

Here are two different methods we used to determine why the square root of 12481 cannot be simplified.

1) To be able to simplify the square root of 12481, one of the factors of 12481 other than 1 must be a perfect square. The factors of 12481 are 1, 7, 1783, and 12481. Since none of these factors are perfect squares, the square root of 12481 cannot be simplified.

2) To be able to simplify the square root of 12481, all the prime factors of 12481 cannot be unique. When we did prime factorization of 12481, we found that 7 x 1783 equals 12481. Since all the prime factors are unique, the square root of 12481 cannot be simplified.

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