Simplify Square Root of 4981

What is the square root of 4981 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.

√4981 = A√B

Unfortunately, the square root of 4981 cannot be simplified. Thus, here is the answer to the square root of 4981 in its simplest form:

√ 4981 = √ 4981

Here are two different methods we used to determine why the square root of 4981 cannot be simplified.

1) To be able to simplify the square root of 4981, one of the factors of 4981 other than 1 must be a perfect square. The factors of 4981 are 1, 17, 293, and 4981. Since none of these factors are perfect squares, the square root of 4981 cannot be simplified.

2) To be able to simplify the square root of 4981, all the prime factors of 4981 cannot be unique. When we did prime factorization of 4981, we found that 17 x 293 equals 4981. Since all the prime factors are unique, the square root of 4981 cannot be simplified.

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