Simplify Square Root of 56441

What is the square root of 56441 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.

√56441 = A√B

Unfortunately, the square root of 56441 cannot be simplified. Thus, here is the answer to the square root of 56441 in its simplest form:

√ 56441 = √ 56441

Here are two different methods we used to determine why the square root of 56441 cannot be simplified.

1) To be able to simplify the square root of 56441, one of the factors of 56441 other than 1 must be a perfect square. The factors of 56441 are 1, 7, 11, 77, 733, 5131, 8063, and 56441. Since none of these factors are perfect squares, the square root of 56441 cannot be simplified.

2) To be able to simplify the square root of 56441, all the prime factors of 56441 cannot be unique. When we did prime factorization of 56441, we found that 7 x 11 x 733 equals 56441. Since all the prime factors are unique, the square root of 56441 cannot be simplified.

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