Simplify Square Root of 95422

What is the square root of 95422 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.

√95422 = A√B

Unfortunately, the square root of 95422 cannot be simplified. Thus, here is the answer to the square root of 95422 in its simplest form:

√ 95422 = √ 95422

Here are two different methods we used to determine why the square root of 95422 cannot be simplified.

1) To be able to simplify the square root of 95422, one of the factors of 95422 other than 1 must be a perfect square. The factors of 95422 are 1, 2, 47711, and 95422. Since none of these factors are perfect squares, the square root of 95422 cannot be simplified.

2) To be able to simplify the square root of 95422, all the prime factors of 95422 cannot be unique. When we did prime factorization of 95422, we found that 2 x 47711 equals 95422. Since all the prime factors are unique, the square root of 95422 cannot be simplified.

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