Simplify Square Root of 16982

What is the square root of 16982 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.

√16982 = A√B

Unfortunately, the square root of 16982 cannot be simplified. Thus, here is the answer to the square root of 16982 in its simplest form:

√ 16982 = √ 16982

Here are two different methods we used to determine why the square root of 16982 cannot be simplified.

1) To be able to simplify the square root of 16982, one of the factors of 16982 other than 1 must be a perfect square. The factors of 16982 are 1, 2, 7, 14, 1213, 2426, 8491, and 16982. Since none of these factors are perfect squares, the square root of 16982 cannot be simplified.

2) To be able to simplify the square root of 16982, all the prime factors of 16982 cannot be unique. When we did prime factorization of 16982, we found that 2 x 7 x 1213 equals 16982. Since all the prime factors are unique, the square root of 16982 cannot be simplified.

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