Simplify Square Root of 33023

What is the square root of 33023 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.

√33023 = A√B

Unfortunately, the square root of 33023 cannot be simplified. Thus, here is the answer to the square root of 33023 in its simplest form:

√ 33023 = √ 33023

Here are two different methods we used to determine why the square root of 33023 cannot be simplified.

1) To be able to simplify the square root of 33023, one of the factors of 33023 other than 1 must be a perfect square. The factors of 33023 are 1 and 33023. Since none of these factors are perfect squares, the square root of 33023 cannot be simplified.

2) To be able to simplify the square root of 33023, all the prime factors of 33023 cannot be unique. When we did prime factorization of 33023, we found that 33023 equals 33023. Since all the prime factors are unique, the square root of 33023 cannot be simplified.

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