Simplify Square Root of 50467

What is the square root of 50467 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.

√50467 = A√B

Unfortunately, the square root of 50467 cannot be simplified. Thus, here is the answer to the square root of 50467 in its simplest form:

√ 50467 = √ 50467

Here are two different methods we used to determine why the square root of 50467 cannot be simplified.

1) To be able to simplify the square root of 50467, one of the factors of 50467 other than 1 must be a perfect square. The factors of 50467 are 1, 109, 463, and 50467. Since none of these factors are perfect squares, the square root of 50467 cannot be simplified.

2) To be able to simplify the square root of 50467, all the prime factors of 50467 cannot be unique. When we did prime factorization of 50467, we found that 109 x 463 equals 50467. Since all the prime factors are unique, the square root of 50467 cannot be simplified.

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