Simplify Square Root of 12890

What is the square root of 12890 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.

√12890 = A√B

Unfortunately, the square root of 12890 cannot be simplified. Thus, here is the answer to the square root of 12890 in its simplest form:

√ 12890 = √ 12890

Here are two different methods we used to determine why the square root of 12890 cannot be simplified.

1) To be able to simplify the square root of 12890, one of the factors of 12890 other than 1 must be a perfect square. The factors of 12890 are 1, 2, 5, 10, 1289, 2578, 6445, and 12890. Since none of these factors are perfect squares, the square root of 12890 cannot be simplified.

2) To be able to simplify the square root of 12890, all the prime factors of 12890 cannot be unique. When we did prime factorization of 12890, we found that 2 x 5 x 1289 equals 12890. Since all the prime factors are unique, the square root of 12890 cannot be simplified.

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