Simplify Square Root of 26527

What is the square root of 26527 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.

√26527 = A√B

Unfortunately, the square root of 26527 cannot be simplified. Thus, here is the answer to the square root of 26527 in its simplest form:

√ 26527 = √ 26527

Here are two different methods we used to determine why the square root of 26527 cannot be simplified.

1) To be able to simplify the square root of 26527, one of the factors of 26527 other than 1 must be a perfect square. The factors of 26527 are 1, 41, 647, and 26527. Since none of these factors are perfect squares, the square root of 26527 cannot be simplified.

2) To be able to simplify the square root of 26527, all the prime factors of 26527 cannot be unique. When we did prime factorization of 26527, we found that 41 x 647 equals 26527. Since all the prime factors are unique, the square root of 26527 cannot be simplified.

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