Simplify Square Root of 77747

What is the square root of 77747 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.

√77747 = A√B

Unfortunately, the square root of 77747 cannot be simplified. Thus, here is the answer to the square root of 77747 in its simplest form:

√ 77747 = √ 77747

Here are two different methods we used to determine why the square root of 77747 cannot be simplified.

1) To be able to simplify the square root of 77747, one of the factors of 77747 other than 1 must be a perfect square. The factors of 77747 are 1 and 77747. Since none of these factors are perfect squares, the square root of 77747 cannot be simplified.

2) To be able to simplify the square root of 77747, all the prime factors of 77747 cannot be unique. When we did prime factorization of 77747, we found that 77747 equals 77747. Since all the prime factors are unique, the square root of 77747 cannot be simplified.

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