Simplify Square Root of 10779

What is the square root of 10779 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.

√10779 = A√B

Unfortunately, the square root of 10779 cannot be simplified. Thus, here is the answer to the square root of 10779 in its simplest form:

√ 10779 = √ 10779

Here are two different methods we used to determine why the square root of 10779 cannot be simplified.

1) To be able to simplify the square root of 10779, one of the factors of 10779 other than 1 must be a perfect square. The factors of 10779 are 1, 3, 3593, and 10779. Since none of these factors are perfect squares, the square root of 10779 cannot be simplified.

2) To be able to simplify the square root of 10779, all the prime factors of 10779 cannot be unique. When we did prime factorization of 10779, we found that 3 x 3593 equals 10779. Since all the prime factors are unique, the square root of 10779 cannot be simplified.

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