Simplify Square Root of 19930

What is the square root of 19930 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.

√19930 = A√B

Unfortunately, the square root of 19930 cannot be simplified. Thus, here is the answer to the square root of 19930 in its simplest form:

√ 19930 = √ 19930

Here are two different methods we used to determine why the square root of 19930 cannot be simplified.

1) To be able to simplify the square root of 19930, one of the factors of 19930 other than 1 must be a perfect square. The factors of 19930 are 1, 2, 5, 10, 1993, 3986, 9965, and 19930. Since none of these factors are perfect squares, the square root of 19930 cannot be simplified.

2) To be able to simplify the square root of 19930, all the prime factors of 19930 cannot be unique. When we did prime factorization of 19930, we found that 2 x 5 x 1993 equals 19930. Since all the prime factors are unique, the square root of 19930 cannot be simplified.

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