Simplify Square Root of 4915

What is the square root of 4915 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.

√4915 = A√B

Unfortunately, the square root of 4915 cannot be simplified. Thus, here is the answer to the square root of 4915 in its simplest form:

√ 4915 = √ 4915

Here are two different methods we used to determine why the square root of 4915 cannot be simplified.

1) To be able to simplify the square root of 4915, one of the factors of 4915 other than 1 must be a perfect square. The factors of 4915 are 1, 5, 983, and 4915. Since none of these factors are perfect squares, the square root of 4915 cannot be simplified.

2) To be able to simplify the square root of 4915, all the prime factors of 4915 cannot be unique. When we did prime factorization of 4915, we found that 5 x 983 equals 4915. Since all the prime factors are unique, the square root of 4915 cannot be simplified.

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