Simplify Square Root of 68033

What is the square root of 68033 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.

√68033 = A√B

Unfortunately, the square root of 68033 cannot be simplified. Thus, here is the answer to the square root of 68033 in its simplest form:

√ 68033 = √ 68033

Here are two different methods we used to determine why the square root of 68033 cannot be simplified.

1) To be able to simplify the square root of 68033, one of the factors of 68033 other than 1 must be a perfect square. The factors of 68033 are 1, 7, 9719, and 68033. Since none of these factors are perfect squares, the square root of 68033 cannot be simplified.

2) To be able to simplify the square root of 68033, all the prime factors of 68033 cannot be unique. When we did prime factorization of 68033, we found that 7 x 9719 equals 68033. Since all the prime factors are unique, the square root of 68033 cannot be simplified.

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