Simplify Square Root of 50513

What is the square root of 50513 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.

√50513 = A√B

Unfortunately, the square root of 50513 cannot be simplified. Thus, here is the answer to the square root of 50513 in its simplest form:

√ 50513 = √ 50513

Here are two different methods we used to determine why the square root of 50513 cannot be simplified.

1) To be able to simplify the square root of 50513, one of the factors of 50513 other than 1 must be a perfect square. The factors of 50513 are 1 and 50513. Since none of these factors are perfect squares, the square root of 50513 cannot be simplified.

2) To be able to simplify the square root of 50513, all the prime factors of 50513 cannot be unique. When we did prime factorization of 50513, we found that 50513 equals 50513. Since all the prime factors are unique, the square root of 50513 cannot be simplified.

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