Simplify Square Root of 40246

What is the square root of 40246 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.

√40246 = A√B

Unfortunately, the square root of 40246 cannot be simplified. Thus, here is the answer to the square root of 40246 in its simplest form:

√ 40246 = √ 40246

Here are two different methods we used to determine why the square root of 40246 cannot be simplified.

1) To be able to simplify the square root of 40246, one of the factors of 40246 other than 1 must be a perfect square. The factors of 40246 are 1, 2, 20123, and 40246. Since none of these factors are perfect squares, the square root of 40246 cannot be simplified.

2) To be able to simplify the square root of 40246, all the prime factors of 40246 cannot be unique. When we did prime factorization of 40246, we found that 2 x 20123 equals 40246. Since all the prime factors are unique, the square root of 40246 cannot be simplified.

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