Simplify Square Root of 24018

What is the square root of 24018 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.

√24018 = A√B

Unfortunately, the square root of 24018 cannot be simplified. Thus, here is the answer to the square root of 24018 in its simplest form:

√ 24018 = √ 24018

Here are two different methods we used to determine why the square root of 24018 cannot be simplified.

1) To be able to simplify the square root of 24018, one of the factors of 24018 other than 1 must be a perfect square. The factors of 24018 are 1, 2, 3, 6, 4003, 8006, 12009, and 24018. Since none of these factors are perfect squares, the square root of 24018 cannot be simplified.

2) To be able to simplify the square root of 24018, all the prime factors of 24018 cannot be unique. When we did prime factorization of 24018, we found that 2 x 3 x 4003 equals 24018. Since all the prime factors are unique, the square root of 24018 cannot be simplified.

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