Simplify Square Root of 12106

What is the square root of 12106 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.

√12106 = A√B

Unfortunately, the square root of 12106 cannot be simplified. Thus, here is the answer to the square root of 12106 in its simplest form:

√ 12106 = √ 12106

Here are two different methods we used to determine why the square root of 12106 cannot be simplified.

1) To be able to simplify the square root of 12106, one of the factors of 12106 other than 1 must be a perfect square. The factors of 12106 are 1, 2, 6053, and 12106. Since none of these factors are perfect squares, the square root of 12106 cannot be simplified.

2) To be able to simplify the square root of 12106, all the prime factors of 12106 cannot be unique. When we did prime factorization of 12106, we found that 2 x 6053 equals 12106. Since all the prime factors are unique, the square root of 12106 cannot be simplified.

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