Simplify Square Root of 11759

What is the square root of 11759 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.

√11759 = A√B

Unfortunately, the square root of 11759 cannot be simplified. Thus, here is the answer to the square root of 11759 in its simplest form:

√ 11759 = √ 11759

Here are two different methods we used to determine why the square root of 11759 cannot be simplified.

1) To be able to simplify the square root of 11759, one of the factors of 11759 other than 1 must be a perfect square. The factors of 11759 are 1, 11, 1069, and 11759. Since none of these factors are perfect squares, the square root of 11759 cannot be simplified.

2) To be able to simplify the square root of 11759, all the prime factors of 11759 cannot be unique. When we did prime factorization of 11759, we found that 11 x 1069 equals 11759. Since all the prime factors are unique, the square root of 11759 cannot be simplified.

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