Simplify Square Root of 24693

What is the square root of 24693 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.

√24693 = A√B

Unfortunately, the square root of 24693 cannot be simplified. Thus, here is the answer to the square root of 24693 in its simplest form:

√ 24693 = √ 24693

Here are two different methods we used to determine why the square root of 24693 cannot be simplified.

1) To be able to simplify the square root of 24693, one of the factors of 24693 other than 1 must be a perfect square. The factors of 24693 are 1, 3, 8231, and 24693. Since none of these factors are perfect squares, the square root of 24693 cannot be simplified.

2) To be able to simplify the square root of 24693, all the prime factors of 24693 cannot be unique. When we did prime factorization of 24693, we found that 3 x 8231 equals 24693. Since all the prime factors are unique, the square root of 24693 cannot be simplified.

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