Simplify Square Root of 30818

What is the square root of 30818 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.

√30818 = A√B

Unfortunately, the square root of 30818 cannot be simplified. Thus, here is the answer to the square root of 30818 in its simplest form:

√ 30818 = √ 30818

Here are two different methods we used to determine why the square root of 30818 cannot be simplified.

1) To be able to simplify the square root of 30818, one of the factors of 30818 other than 1 must be a perfect square. The factors of 30818 are 1, 2, 19, 38, 811, 1622, 15409, and 30818. Since none of these factors are perfect squares, the square root of 30818 cannot be simplified.

2) To be able to simplify the square root of 30818, all the prime factors of 30818 cannot be unique. When we did prime factorization of 30818, we found that 2 x 19 x 811 equals 30818. Since all the prime factors are unique, the square root of 30818 cannot be simplified.

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