Simplify Square Root of 97222

What is the square root of 97222 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.

√97222 = A√B

Unfortunately, the square root of 97222 cannot be simplified. Thus, here is the answer to the square root of 97222 in its simplest form:

√ 97222 = √ 97222

Here are two different methods we used to determine why the square root of 97222 cannot be simplified.

1) To be able to simplify the square root of 97222, one of the factors of 97222 other than 1 must be a perfect square. The factors of 97222 are 1, 2, 48611, and 97222. Since none of these factors are perfect squares, the square root of 97222 cannot be simplified.

2) To be able to simplify the square root of 97222, all the prime factors of 97222 cannot be unique. When we did prime factorization of 97222, we found that 2 x 48611 equals 97222. Since all the prime factors are unique, the square root of 97222 cannot be simplified.

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