Simplify Square Root of 18233

What is the square root of 18233 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.

√18233 = A√B

Unfortunately, the square root of 18233 cannot be simplified. Thus, here is the answer to the square root of 18233 in its simplest form:

√ 18233 = √ 18233

Here are two different methods we used to determine why the square root of 18233 cannot be simplified.

1) To be able to simplify the square root of 18233, one of the factors of 18233 other than 1 must be a perfect square. The factors of 18233 are 1 and 18233. Since none of these factors are perfect squares, the square root of 18233 cannot be simplified.

2) To be able to simplify the square root of 18233, all the prime factors of 18233 cannot be unique. When we did prime factorization of 18233, we found that 18233 equals 18233. Since all the prime factors are unique, the square root of 18233 cannot be simplified.

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