Simplify Square Root of 16651

What is the square root of 16651 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.

√16651 = A√B

Unfortunately, the square root of 16651 cannot be simplified. Thus, here is the answer to the square root of 16651 in its simplest form:

√ 16651 = √ 16651

Here are two different methods we used to determine why the square root of 16651 cannot be simplified.

1) To be able to simplify the square root of 16651, one of the factors of 16651 other than 1 must be a perfect square. The factors of 16651 are 1 and 16651. Since none of these factors are perfect squares, the square root of 16651 cannot be simplified.

2) To be able to simplify the square root of 16651, all the prime factors of 16651 cannot be unique. When we did prime factorization of 16651, we found that 16651 equals 16651. Since all the prime factors are unique, the square root of 16651 cannot be simplified.

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