Simplify Square Root of 15233

What is the square root of 15233 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.

√15233 = A√B

Unfortunately, the square root of 15233 cannot be simplified. Thus, here is the answer to the square root of 15233 in its simplest form:

√ 15233 = √ 15233

Here are two different methods we used to determine why the square root of 15233 cannot be simplified.

1) To be able to simplify the square root of 15233, one of the factors of 15233 other than 1 must be a perfect square. The factors of 15233 are 1 and 15233. Since none of these factors are perfect squares, the square root of 15233 cannot be simplified.

2) To be able to simplify the square root of 15233, all the prime factors of 15233 cannot be unique. When we did prime factorization of 15233, we found that 15233 equals 15233. Since all the prime factors are unique, the square root of 15233 cannot be simplified.

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