
What is the square root of 53981 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.
√53981 = A√B
Unfortunately, the square root of 53981 cannot be simplified. Thus, here is the answer to the square root of 53981 in its simplest form:
√ 53981 = √ 53981
Here are two different methods we used to determine why the square root of 53981 cannot be simplified.
1) To be able to simplify the square root of 53981, one of the factors of 53981 other than 1 must be a perfect square. The factors of 53981 are 1, 23, 2347, and 53981. Since none of these factors are perfect squares, the square root of 53981 cannot be simplified.
2) To be able to simplify the square root of 53981, all the prime factors of 53981 cannot be unique. When we did prime factorization of 53981, we found that 23 x 2347 equals 53981. Since all the prime factors are unique, the square root of 53981 cannot be simplified.
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