
What is the square root of 615 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.
√615 = A√B
Unfortunately, the square root of 615 cannot be simplified. Thus, here is the answer to the square root of 615 in its simplest form:
√ 615 = √ 615
Here are two different methods we used to determine why the square root of 615 cannot be simplified.
1) To be able to simplify the square root of 615, one of the factors of 615 other than 1 must be a perfect square. The factors of 615 are 1, 3, 5, 15, 41, 123, 205, and 615. Since none of these factors are perfect squares, the square root of 615 cannot be simplified.
2) To be able to simplify the square root of 615, all the prime factors of 615 cannot be unique. When we did prime factorization of 615, we found that 3 x 5 x 41 equals 615. Since all the prime factors are unique, the square root of 615 cannot be simplified.
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Simplify Square Root of 616
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