Simplify Square Root of 56978

What is the square root of 56978 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.

√56978 = A√B

Unfortunately, the square root of 56978 cannot be simplified. Thus, here is the answer to the square root of 56978 in its simplest form:

√ 56978 = √ 56978

Here are two different methods we used to determine why the square root of 56978 cannot be simplified.

1) To be able to simplify the square root of 56978, one of the factors of 56978 other than 1 must be a perfect square. The factors of 56978 are 1, 2, 31, 62, 919, 1838, 28489, and 56978. Since none of these factors are perfect squares, the square root of 56978 cannot be simplified.

2) To be able to simplify the square root of 56978, all the prime factors of 56978 cannot be unique. When we did prime factorization of 56978, we found that 2 x 31 x 919 equals 56978. Since all the prime factors are unique, the square root of 56978 cannot be simplified.

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