Simplify Square Root of 11930

What is the square root of 11930 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.

√11930 = A√B

Unfortunately, the square root of 11930 cannot be simplified. Thus, here is the answer to the square root of 11930 in its simplest form:

√ 11930 = √ 11930

Here are two different methods we used to determine why the square root of 11930 cannot be simplified.

1) To be able to simplify the square root of 11930, one of the factors of 11930 other than 1 must be a perfect square. The factors of 11930 are 1, 2, 5, 10, 1193, 2386, 5965, and 11930. Since none of these factors are perfect squares, the square root of 11930 cannot be simplified.

2) To be able to simplify the square root of 11930, all the prime factors of 11930 cannot be unique. When we did prime factorization of 11930, we found that 2 x 5 x 1193 equals 11930. Since all the prime factors are unique, the square root of 11930 cannot be simplified.

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