Simplify Square Root of 49615

What is the square root of 49615 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.

√49615 = A√B

Unfortunately, the square root of 49615 cannot be simplified. Thus, here is the answer to the square root of 49615 in its simplest form:

√ 49615 = √ 49615

Here are two different methods we used to determine why the square root of 49615 cannot be simplified.

1) To be able to simplify the square root of 49615, one of the factors of 49615 other than 1 must be a perfect square. The factors of 49615 are 1, 5, 9923, and 49615. Since none of these factors are perfect squares, the square root of 49615 cannot be simplified.

2) To be able to simplify the square root of 49615, all the prime factors of 49615 cannot be unique. When we did prime factorization of 49615, we found that 5 x 9923 equals 49615. Since all the prime factors are unique, the square root of 49615 cannot be simplified.

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