Simplify Square Root of 99343

What is the square root of 99343 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.

√99343 = A√B

Unfortunately, the square root of 99343 cannot be simplified. Thus, here is the answer to the square root of 99343 in its simplest form:

√ 99343 = √ 99343

Here are two different methods we used to determine why the square root of 99343 cannot be simplified.

1) To be able to simplify the square root of 99343, one of the factors of 99343 other than 1 must be a perfect square. The factors of 99343 are 1, 41, 2423, and 99343. Since none of these factors are perfect squares, the square root of 99343 cannot be simplified.

2) To be able to simplify the square root of 99343, all the prime factors of 99343 cannot be unique. When we did prime factorization of 99343, we found that 41 x 2423 equals 99343. Since all the prime factors are unique, the square root of 99343 cannot be simplified.

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