Simplify Square Root of 70411

What is the square root of 70411 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.

√70411 = A√B

Unfortunately, the square root of 70411 cannot be simplified. Thus, here is the answer to the square root of 70411 in its simplest form:

√ 70411 = √ 70411

Here are two different methods we used to determine why the square root of 70411 cannot be simplified.

1) To be able to simplify the square root of 70411, one of the factors of 70411 other than 1 must be a perfect square. The factors of 70411 are 1, 11, 37, 173, 407, 1903, 6401, and 70411. Since none of these factors are perfect squares, the square root of 70411 cannot be simplified.

2) To be able to simplify the square root of 70411, all the prime factors of 70411 cannot be unique. When we did prime factorization of 70411, we found that 11 x 37 x 173 equals 70411. Since all the prime factors are unique, the square root of 70411 cannot be simplified.

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