Simplify Square Root of 479

What is the square root of 479 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.

√479 = A√B

Unfortunately, the square root of 479 cannot be simplified. Thus, here is the answer to the square root of 479 in its simplest form:

√ 479 = √ 479

Here are two different methods we used to determine why the square root of 479 cannot be simplified.

1) To be able to simplify the square root of 479, one of the factors of 479 other than 1 must be a perfect square. The factors of 479 are 1 and 479. Since none of these factors are perfect squares, the square root of 479 cannot be simplified.

2) To be able to simplify the square root of 479, all the prime factors of 479 cannot be unique. When we did prime factorization of 479, we found that 479 equals 479. Since all the prime factors are unique, the square root of 479 cannot be simplified.

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