Simplify Square Root of 11983

What is the square root of 11983 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.

√11983 = A√B

Unfortunately, the square root of 11983 cannot be simplified. Thus, here is the answer to the square root of 11983 in its simplest form:

√ 11983 = √ 11983

Here are two different methods we used to determine why the square root of 11983 cannot be simplified.

1) To be able to simplify the square root of 11983, one of the factors of 11983 other than 1 must be a perfect square. The factors of 11983 are 1, 23, 521, and 11983. Since none of these factors are perfect squares, the square root of 11983 cannot be simplified.

2) To be able to simplify the square root of 11983, all the prime factors of 11983 cannot be unique. When we did prime factorization of 11983, we found that 23 x 521 equals 11983. Since all the prime factors are unique, the square root of 11983 cannot be simplified.

Simplify Square Root
Please enter another square root in the box below for us to simplify for you.

Simplify Square Root of 11984
Here is the next square root on our list that we have simplifed.