Simplify Square Root of 60765

What is the square root of 60765 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.

√60765 = A√B

Unfortunately, the square root of 60765 cannot be simplified. Thus, here is the answer to the square root of 60765 in its simplest form:

√ 60765 = √ 60765

Here are two different methods we used to determine why the square root of 60765 cannot be simplified.

1) To be able to simplify the square root of 60765, one of the factors of 60765 other than 1 must be a perfect square. The factors of 60765 are 1, 3, 5, 15, 4051, 12153, 20255, and 60765. Since none of these factors are perfect squares, the square root of 60765 cannot be simplified.

2) To be able to simplify the square root of 60765, all the prime factors of 60765 cannot be unique. When we did prime factorization of 60765, we found that 3 x 5 x 4051 equals 60765. Since all the prime factors are unique, the square root of 60765 cannot be simplified.

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