Simplify Square Root of 12063

What is the square root of 12063 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.

√12063 = A√B

Unfortunately, the square root of 12063 cannot be simplified. Thus, here is the answer to the square root of 12063 in its simplest form:

√ 12063 = √ 12063

Here are two different methods we used to determine why the square root of 12063 cannot be simplified.

1) To be able to simplify the square root of 12063, one of the factors of 12063 other than 1 must be a perfect square. The factors of 12063 are 1, 3, 4021, and 12063. Since none of these factors are perfect squares, the square root of 12063 cannot be simplified.

2) To be able to simplify the square root of 12063, all the prime factors of 12063 cannot be unique. When we did prime factorization of 12063, we found that 3 x 4021 equals 12063. Since all the prime factors are unique, the square root of 12063 cannot be simplified.

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