Simplify Square Root of 48955

What is the square root of 48955 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.

√48955 = A√B

Unfortunately, the square root of 48955 cannot be simplified. Thus, here is the answer to the square root of 48955 in its simplest form:

√ 48955 = √ 48955

Here are two different methods we used to determine why the square root of 48955 cannot be simplified.

1) To be able to simplify the square root of 48955, one of the factors of 48955 other than 1 must be a perfect square. The factors of 48955 are 1, 5, 9791, and 48955. Since none of these factors are perfect squares, the square root of 48955 cannot be simplified.

2) To be able to simplify the square root of 48955, all the prime factors of 48955 cannot be unique. When we did prime factorization of 48955, we found that 5 x 9791 equals 48955. Since all the prime factors are unique, the square root of 48955 cannot be simplified.

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