
What is the square root of 55033 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.
√55033 = A√B
Unfortunately, the square root of 55033 cannot be simplified. Thus, here is the answer to the square root of 55033 in its simplest form:
√ 55033 = √ 55033
Here are two different methods we used to determine why the square root of 55033 cannot be simplified.
1) To be able to simplify the square root of 55033, one of the factors of 55033 other than 1 must be a perfect square. The factors of 55033 are 1, 11, 5003, and 55033. Since none of these factors are perfect squares, the square root of 55033 cannot be simplified.
2) To be able to simplify the square root of 55033, all the prime factors of 55033 cannot be unique. When we did prime factorization of 55033, we found that 11 x 5003 equals 55033. Since all the prime factors are unique, the square root of 55033 cannot be simplified.
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