Simplify Square Root of 50545

What is the square root of 50545 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.

√50545 = A√B

Unfortunately, the square root of 50545 cannot be simplified. Thus, here is the answer to the square root of 50545 in its simplest form:

√ 50545 = √ 50545

Here are two different methods we used to determine why the square root of 50545 cannot be simplified.

1) To be able to simplify the square root of 50545, one of the factors of 50545 other than 1 must be a perfect square. The factors of 50545 are 1, 5, 11, 55, 919, 4595, 10109, and 50545. Since none of these factors are perfect squares, the square root of 50545 cannot be simplified.

2) To be able to simplify the square root of 50545, all the prime factors of 50545 cannot be unique. When we did prime factorization of 50545, we found that 5 x 11 x 919 equals 50545. Since all the prime factors are unique, the square root of 50545 cannot be simplified.

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