Simplify Square Root of 26291

What is the square root of 26291 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.

√26291 = A√B

Unfortunately, the square root of 26291 cannot be simplified. Thus, here is the answer to the square root of 26291 in its simplest form:

√ 26291 = √ 26291

Here are two different methods we used to determine why the square root of 26291 cannot be simplified.

1) To be able to simplify the square root of 26291, one of the factors of 26291 other than 1 must be a perfect square. The factors of 26291 are 1, 61, 431, and 26291. Since none of these factors are perfect squares, the square root of 26291 cannot be simplified.

2) To be able to simplify the square root of 26291, all the prime factors of 26291 cannot be unique. When we did prime factorization of 26291, we found that 61 x 431 equals 26291. Since all the prime factors are unique, the square root of 26291 cannot be simplified.

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