Simplify Square Root of 53897

What is the square root of 53897 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.

√53897 = A√B

Unfortunately, the square root of 53897 cannot be simplified. Thus, here is the answer to the square root of 53897 in its simplest form:

√ 53897 = √ 53897

Here are two different methods we used to determine why the square root of 53897 cannot be simplified.

1) To be able to simplify the square root of 53897, one of the factors of 53897 other than 1 must be a perfect square. The factors of 53897 are 1 and 53897. Since none of these factors are perfect squares, the square root of 53897 cannot be simplified.

2) To be able to simplify the square root of 53897, all the prime factors of 53897 cannot be unique. When we did prime factorization of 53897, we found that 53897 equals 53897. Since all the prime factors are unique, the square root of 53897 cannot be simplified.

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