Simplify Square Root of 43403

What is the square root of 43403 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.

√43403 = A√B

Unfortunately, the square root of 43403 cannot be simplified. Thus, here is the answer to the square root of 43403 in its simplest form:

√ 43403 = √ 43403

Here are two different methods we used to determine why the square root of 43403 cannot be simplified.

1) To be able to simplify the square root of 43403, one of the factors of 43403 other than 1 must be a perfect square. The factors of 43403 are 1 and 43403. Since none of these factors are perfect squares, the square root of 43403 cannot be simplified.

2) To be able to simplify the square root of 43403, all the prime factors of 43403 cannot be unique. When we did prime factorization of 43403, we found that 43403 equals 43403. Since all the prime factors are unique, the square root of 43403 cannot be simplified.

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