Simplify Square Root of 41446

What is the square root of 41446 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.

√41446 = A√B

Unfortunately, the square root of 41446 cannot be simplified. Thus, here is the answer to the square root of 41446 in its simplest form:

√ 41446 = √ 41446

Here are two different methods we used to determine why the square root of 41446 cannot be simplified.

1) To be able to simplify the square root of 41446, one of the factors of 41446 other than 1 must be a perfect square. The factors of 41446 are 1, 2, 17, 23, 34, 46, 53, 106, 391, 782, 901, 1219, 1802, 2438, 20723, and 41446. Since none of these factors are perfect squares, the square root of 41446 cannot be simplified.

2) To be able to simplify the square root of 41446, all the prime factors of 41446 cannot be unique. When we did prime factorization of 41446, we found that 2 x 17 x 23 x 53 equals 41446. Since all the prime factors are unique, the square root of 41446 cannot be simplified.

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