Simplify Square Root of 16522

What is the square root of 16522 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.

√16522 = A√B

Unfortunately, the square root of 16522 cannot be simplified. Thus, here is the answer to the square root of 16522 in its simplest form:

√ 16522 = √ 16522

Here are two different methods we used to determine why the square root of 16522 cannot be simplified.

1) To be able to simplify the square root of 16522, one of the factors of 16522 other than 1 must be a perfect square. The factors of 16522 are 1, 2, 11, 22, 751, 1502, 8261, and 16522. Since none of these factors are perfect squares, the square root of 16522 cannot be simplified.

2) To be able to simplify the square root of 16522, all the prime factors of 16522 cannot be unique. When we did prime factorization of 16522, we found that 2 x 11 x 751 equals 16522. Since all the prime factors are unique, the square root of 16522 cannot be simplified.

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