Simplify Square Root of 55735

What is the square root of 55735 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.

√55735 = A√B

Unfortunately, the square root of 55735 cannot be simplified. Thus, here is the answer to the square root of 55735 in its simplest form:

√ 55735 = √ 55735

Here are two different methods we used to determine why the square root of 55735 cannot be simplified.

1) To be able to simplify the square root of 55735, one of the factors of 55735 other than 1 must be a perfect square. The factors of 55735 are 1, 5, 71, 157, 355, 785, 11147, and 55735. Since none of these factors are perfect squares, the square root of 55735 cannot be simplified.

2) To be able to simplify the square root of 55735, all the prime factors of 55735 cannot be unique. When we did prime factorization of 55735, we found that 5 x 71 x 157 equals 55735. Since all the prime factors are unique, the square root of 55735 cannot be simplified.

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