Simplify Square Root of 77015

What is the square root of 77015 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.

√77015 = A√B

Unfortunately, the square root of 77015 cannot be simplified. Thus, here is the answer to the square root of 77015 in its simplest form:

√ 77015 = √ 77015

Here are two different methods we used to determine why the square root of 77015 cannot be simplified.

1) To be able to simplify the square root of 77015, one of the factors of 77015 other than 1 must be a perfect square. The factors of 77015 are 1, 5, 73, 211, 365, 1055, 15403, and 77015. Since none of these factors are perfect squares, the square root of 77015 cannot be simplified.

2) To be able to simplify the square root of 77015, all the prime factors of 77015 cannot be unique. When we did prime factorization of 77015, we found that 5 x 73 x 211 equals 77015. Since all the prime factors are unique, the square root of 77015 cannot be simplified.

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