Simplify Square Root of 28403

What is the square root of 28403 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.

√28403 = A√B

Unfortunately, the square root of 28403 cannot be simplified. Thus, here is the answer to the square root of 28403 in its simplest form:

√ 28403 = √ 28403

Here are two different methods we used to determine why the square root of 28403 cannot be simplified.

1) To be able to simplify the square root of 28403, one of the factors of 28403 other than 1 must be a perfect square. The factors of 28403 are 1 and 28403. Since none of these factors are perfect squares, the square root of 28403 cannot be simplified.

2) To be able to simplify the square root of 28403, all the prime factors of 28403 cannot be unique. When we did prime factorization of 28403, we found that 28403 equals 28403. Since all the prime factors are unique, the square root of 28403 cannot be simplified.

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