Simplify Square Root of 48079

What is the square root of 48079 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.

√48079 = A√B

Unfortunately, the square root of 48079 cannot be simplified. Thus, here is the answer to the square root of 48079 in its simplest form:

√ 48079 = √ 48079

Here are two different methods we used to determine why the square root of 48079 cannot be simplified.

1) To be able to simplify the square root of 48079, one of the factors of 48079 other than 1 must be a perfect square. The factors of 48079 are 1 and 48079. Since none of these factors are perfect squares, the square root of 48079 cannot be simplified.

2) To be able to simplify the square root of 48079, all the prime factors of 48079 cannot be unique. When we did prime factorization of 48079, we found that 48079 equals 48079. Since all the prime factors are unique, the square root of 48079 cannot be simplified.

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