Simplify Square Root of 26383

What is the square root of 26383 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.

√26383 = A√B

Unfortunately, the square root of 26383 cannot be simplified. Thus, here is the answer to the square root of 26383 in its simplest form:

√ 26383 = √ 26383

Here are two different methods we used to determine why the square root of 26383 cannot be simplified.

1) To be able to simplify the square root of 26383, one of the factors of 26383 other than 1 must be a perfect square. The factors of 26383 are 1, 7, 3769, and 26383. Since none of these factors are perfect squares, the square root of 26383 cannot be simplified.

2) To be able to simplify the square root of 26383, all the prime factors of 26383 cannot be unique. When we did prime factorization of 26383, we found that 7 x 3769 equals 26383. Since all the prime factors are unique, the square root of 26383 cannot be simplified.

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