Simplify Square Root of 18679

What is the square root of 18679 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.

√18679 = A√B

Unfortunately, the square root of 18679 cannot be simplified. Thus, here is the answer to the square root of 18679 in its simplest form:

√ 18679 = √ 18679

Here are two different methods we used to determine why the square root of 18679 cannot be simplified.

1) To be able to simplify the square root of 18679, one of the factors of 18679 other than 1 must be a perfect square. The factors of 18679 are 1 and 18679. Since none of these factors are perfect squares, the square root of 18679 cannot be simplified.

2) To be able to simplify the square root of 18679, all the prime factors of 18679 cannot be unique. When we did prime factorization of 18679, we found that 18679 equals 18679. Since all the prime factors are unique, the square root of 18679 cannot be simplified.

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