Simplify Square Root of 33001 What is the square root of 33001 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.

33001 = A√B

Unfortunately, the square root of 33001 cannot be simplified. Thus, here is the answer to the square root of 33001 in its simplest form:

33001 = √ 33001

Here are two different methods we used to determine why the square root of 33001 cannot be simplified.

1) To be able to simplify the square root of 33001, one of the factors of 33001 other than 1 must be a perfect square. The factors of 33001 are 1, 61, 541, and 33001. Since none of these factors are perfect squares, the square root of 33001 cannot be simplified.

2) To be able to simplify the square root of 33001, all the prime factors of 33001 cannot be unique. When we did prime factorization of 33001, we found that 61 x 541 equals 33001. Since all the prime factors are unique, the square root of 33001 cannot be simplified.

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