Simplify Square Root of 19771

What is the square root of 19771 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.

√19771 = A√B

Unfortunately, the square root of 19771 cannot be simplified. Thus, here is the answer to the square root of 19771 in its simplest form:

√ 19771 = √ 19771

Here are two different methods we used to determine why the square root of 19771 cannot be simplified.

1) To be able to simplify the square root of 19771, one of the factors of 19771 other than 1 must be a perfect square. The factors of 19771 are 1, 17, 1163, and 19771. Since none of these factors are perfect squares, the square root of 19771 cannot be simplified.

2) To be able to simplify the square root of 19771, all the prime factors of 19771 cannot be unique. When we did prime factorization of 19771, we found that 17 x 1163 equals 19771. Since all the prime factors are unique, the square root of 19771 cannot be simplified.

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Simplify Square Root of 19772
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