Simplify Square Root of 26915

What is the square root of 26915 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.

√26915 = A√B

Unfortunately, the square root of 26915 cannot be simplified. Thus, here is the answer to the square root of 26915 in its simplest form:

√ 26915 = √ 26915

Here are two different methods we used to determine why the square root of 26915 cannot be simplified.

1) To be able to simplify the square root of 26915, one of the factors of 26915 other than 1 must be a perfect square. The factors of 26915 are 1, 5, 7, 35, 769, 3845, 5383, and 26915. Since none of these factors are perfect squares, the square root of 26915 cannot be simplified.

2) To be able to simplify the square root of 26915, all the prime factors of 26915 cannot be unique. When we did prime factorization of 26915, we found that 5 x 7 x 769 equals 26915. Since all the prime factors are unique, the square root of 26915 cannot be simplified.

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