Simplify Square Root of 18969

What is the square root of 18969 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.

√18969 = A√B

Unfortunately, the square root of 18969 cannot be simplified. Thus, here is the answer to the square root of 18969 in its simplest form:

√ 18969 = √ 18969

Here are two different methods we used to determine why the square root of 18969 cannot be simplified.

1) To be able to simplify the square root of 18969, one of the factors of 18969 other than 1 must be a perfect square. The factors of 18969 are 1, 3, 6323, and 18969. Since none of these factors are perfect squares, the square root of 18969 cannot be simplified.

2) To be able to simplify the square root of 18969, all the prime factors of 18969 cannot be unique. When we did prime factorization of 18969, we found that 3 x 6323 equals 18969. Since all the prime factors are unique, the square root of 18969 cannot be simplified.

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