Simplify Square Root of 61779

What is the square root of 61779 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.

√61779 = A√B

Unfortunately, the square root of 61779 cannot be simplified. Thus, here is the answer to the square root of 61779 in its simplest form:

√ 61779 = √ 61779

Here are two different methods we used to determine why the square root of 61779 cannot be simplified.

1) To be able to simplify the square root of 61779, one of the factors of 61779 other than 1 must be a perfect square. The factors of 61779 are 1, 3, 20593, and 61779. Since none of these factors are perfect squares, the square root of 61779 cannot be simplified.

2) To be able to simplify the square root of 61779, all the prime factors of 61779 cannot be unique. When we did prime factorization of 61779, we found that 3 x 20593 equals 61779. Since all the prime factors are unique, the square root of 61779 cannot be simplified.

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