Simplify Square Root of 61933

What is the square root of 61933 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.

√61933 = A√B

Unfortunately, the square root of 61933 cannot be simplified. Thus, here is the answer to the square root of 61933 in its simplest form:

√ 61933 = √ 61933

Here are two different methods we used to determine why the square root of 61933 cannot be simplified.

1) To be able to simplify the square root of 61933, one of the factors of 61933 other than 1 must be a perfect square. The factors of 61933 are 1 and 61933. Since none of these factors are perfect squares, the square root of 61933 cannot be simplified.

2) To be able to simplify the square root of 61933, all the prime factors of 61933 cannot be unique. When we did prime factorization of 61933, we found that 61933 equals 61933. Since all the prime factors are unique, the square root of 61933 cannot be simplified.

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