Simplify Square Root of 64522

What is the square root of 64522 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.

√64522 = A√B

Unfortunately, the square root of 64522 cannot be simplified. Thus, here is the answer to the square root of 64522 in its simplest form:

√ 64522 = √ 64522

Here are two different methods we used to determine why the square root of 64522 cannot be simplified.

1) To be able to simplify the square root of 64522, one of the factors of 64522 other than 1 must be a perfect square. The factors of 64522 are 1, 2, 32261, and 64522. Since none of these factors are perfect squares, the square root of 64522 cannot be simplified.

2) To be able to simplify the square root of 64522, all the prime factors of 64522 cannot be unique. When we did prime factorization of 64522, we found that 2 x 32261 equals 64522. Since all the prime factors are unique, the square root of 64522 cannot be simplified.

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