Simplify Square Root of 69883

What is the square root of 69883 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.

√69883 = A√B

Unfortunately, the square root of 69883 cannot be simplified. Thus, here is the answer to the square root of 69883 in its simplest form:

√ 69883 = √ 69883

Here are two different methods we used to determine why the square root of 69883 cannot be simplified.

1) To be able to simplify the square root of 69883, one of the factors of 69883 other than 1 must be a perfect square. The factors of 69883 are 1, 11, 6353, and 69883. Since none of these factors are perfect squares, the square root of 69883 cannot be simplified.

2) To be able to simplify the square root of 69883, all the prime factors of 69883 cannot be unique. When we did prime factorization of 69883, we found that 11 x 6353 equals 69883. Since all the prime factors are unique, the square root of 69883 cannot be simplified.

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