Simplify Square Root of 43998

What is the square root of 43998 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.

√43998 = A√B

Unfortunately, the square root of 43998 cannot be simplified. Thus, here is the answer to the square root of 43998 in its simplest form:

√ 43998 = √ 43998

Here are two different methods we used to determine why the square root of 43998 cannot be simplified.

1) To be able to simplify the square root of 43998, one of the factors of 43998 other than 1 must be a perfect square. The factors of 43998 are 1, 2, 3, 6, 7333, 14666, 21999, and 43998. Since none of these factors are perfect squares, the square root of 43998 cannot be simplified.

2) To be able to simplify the square root of 43998, all the prime factors of 43998 cannot be unique. When we did prime factorization of 43998, we found that 2 x 3 x 7333 equals 43998. Since all the prime factors are unique, the square root of 43998 cannot be simplified.

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