Simplify Square Root of 77755

What is the square root of 77755 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.

√77755 = A√B

Unfortunately, the square root of 77755 cannot be simplified. Thus, here is the answer to the square root of 77755 in its simplest form:

√ 77755 = √ 77755

Here are two different methods we used to determine why the square root of 77755 cannot be simplified.

1) To be able to simplify the square root of 77755, one of the factors of 77755 other than 1 must be a perfect square. The factors of 77755 are 1, 5, 15551, and 77755. Since none of these factors are perfect squares, the square root of 77755 cannot be simplified.

2) To be able to simplify the square root of 77755, all the prime factors of 77755 cannot be unique. When we did prime factorization of 77755, we found that 5 x 15551 equals 77755. Since all the prime factors are unique, the square root of 77755 cannot be simplified.

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