Simplify Square Root of 443

What is the square root of 443 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.

√443 = A√B

Unfortunately, the square root of 443 cannot be simplified. Thus, here is the answer to the square root of 443 in its simplest form:

√ 443 = √ 443

Here are two different methods we used to determine why the square root of 443 cannot be simplified.

1) To be able to simplify the square root of 443, one of the factors of 443 other than 1 must be a perfect square. The factors of 443 are 1 and 443. Since none of these factors are perfect squares, the square root of 443 cannot be simplified.

2) To be able to simplify the square root of 443, all the prime factors of 443 cannot be unique. When we did prime factorization of 443, we found that 443 equals 443. Since all the prime factors are unique, the square root of 443 cannot be simplified.

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