Simplify Square Root of 53743

What is the square root of 53743 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.

√53743 = A√B

Unfortunately, the square root of 53743 cannot be simplified. Thus, here is the answer to the square root of 53743 in its simplest form:

√ 53743 = √ 53743

Here are two different methods we used to determine why the square root of 53743 cannot be simplified.

1) To be able to simplify the square root of 53743, one of the factors of 53743 other than 1 must be a perfect square. The factors of 53743 are 1, 223, 241, and 53743. Since none of these factors are perfect squares, the square root of 53743 cannot be simplified.

2) To be able to simplify the square root of 53743, all the prime factors of 53743 cannot be unique. When we did prime factorization of 53743, we found that 223 x 241 equals 53743. Since all the prime factors are unique, the square root of 53743 cannot be simplified.

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