Simplify Square Root of 4399

What is the square root of 4399 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.

√4399 = A√B

Unfortunately, the square root of 4399 cannot be simplified. Thus, here is the answer to the square root of 4399 in its simplest form:

√ 4399 = √ 4399

Here are two different methods we used to determine why the square root of 4399 cannot be simplified.

1) To be able to simplify the square root of 4399, one of the factors of 4399 other than 1 must be a perfect square. The factors of 4399 are 1, 53, 83, and 4399. Since none of these factors are perfect squares, the square root of 4399 cannot be simplified.

2) To be able to simplify the square root of 4399, all the prime factors of 4399 cannot be unique. When we did prime factorization of 4399, we found that 53 x 83 equals 4399. Since all the prime factors are unique, the square root of 4399 cannot be simplified.

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