Simplify Square Root of 12603

What is the square root of 12603 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.

√12603 = A√B

Unfortunately, the square root of 12603 cannot be simplified. Thus, here is the answer to the square root of 12603 in its simplest form:

√ 12603 = √ 12603

Here are two different methods we used to determine why the square root of 12603 cannot be simplified.

1) To be able to simplify the square root of 12603, one of the factors of 12603 other than 1 must be a perfect square. The factors of 12603 are 1, 3, 4201, and 12603. Since none of these factors are perfect squares, the square root of 12603 cannot be simplified.

2) To be able to simplify the square root of 12603, all the prime factors of 12603 cannot be unique. When we did prime factorization of 12603, we found that 3 x 4201 equals 12603. Since all the prime factors are unique, the square root of 12603 cannot be simplified.

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