Simplify Square Root of 26365

What is the square root of 26365 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.

√26365 = A√B

Unfortunately, the square root of 26365 cannot be simplified. Thus, here is the answer to the square root of 26365 in its simplest form:

√ 26365 = √ 26365

Here are two different methods we used to determine why the square root of 26365 cannot be simplified.

1) To be able to simplify the square root of 26365, one of the factors of 26365 other than 1 must be a perfect square. The factors of 26365 are 1, 5, 5273, and 26365. Since none of these factors are perfect squares, the square root of 26365 cannot be simplified.

2) To be able to simplify the square root of 26365, all the prime factors of 26365 cannot be unique. When we did prime factorization of 26365, we found that 5 x 5273 equals 26365. Since all the prime factors are unique, the square root of 26365 cannot be simplified.

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