Simplify Square Root of 9518

What is the square root of 9518 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.

√9518 = A√B

Unfortunately, the square root of 9518 cannot be simplified. Thus, here is the answer to the square root of 9518 in its simplest form:

√ 9518 = √ 9518

Here are two different methods we used to determine why the square root of 9518 cannot be simplified.

1) To be able to simplify the square root of 9518, one of the factors of 9518 other than 1 must be a perfect square. The factors of 9518 are 1, 2, 4759, and 9518. Since none of these factors are perfect squares, the square root of 9518 cannot be simplified.

2) To be able to simplify the square root of 9518, all the prime factors of 9518 cannot be unique. When we did prime factorization of 9518, we found that 2 x 4759 equals 9518. Since all the prime factors are unique, the square root of 9518 cannot be simplified.

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