Simplify Square Root of 12787

What is the square root of 12787 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.

√12787 = A√B

Unfortunately, the square root of 12787 cannot be simplified. Thus, here is the answer to the square root of 12787 in its simplest form:

√ 12787 = √ 12787

Here are two different methods we used to determine why the square root of 12787 cannot be simplified.

1) To be able to simplify the square root of 12787, one of the factors of 12787 other than 1 must be a perfect square. The factors of 12787 are 1, 19, 673, and 12787. Since none of these factors are perfect squares, the square root of 12787 cannot be simplified.

2) To be able to simplify the square root of 12787, all the prime factors of 12787 cannot be unique. When we did prime factorization of 12787, we found that 19 x 673 equals 12787. Since all the prime factors are unique, the square root of 12787 cannot be simplified.

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