Simplify Square Root of 46670

What is the square root of 46670 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.

√46670 = A√B

Unfortunately, the square root of 46670 cannot be simplified. Thus, here is the answer to the square root of 46670 in its simplest form:

√ 46670 = √ 46670

Here are two different methods we used to determine why the square root of 46670 cannot be simplified.

1) To be able to simplify the square root of 46670, one of the factors of 46670 other than 1 must be a perfect square. The factors of 46670 are 1, 2, 5, 10, 13, 26, 65, 130, 359, 718, 1795, 3590, 4667, 9334, 23335, and 46670. Since none of these factors are perfect squares, the square root of 46670 cannot be simplified.

2) To be able to simplify the square root of 46670, all the prime factors of 46670 cannot be unique. When we did prime factorization of 46670, we found that 2 x 5 x 13 x 359 equals 46670. Since all the prime factors are unique, the square root of 46670 cannot be simplified.

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