Simplify Square Root of 60387

What is the square root of 60387 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.

√60387 = A√B

Unfortunately, the square root of 60387 cannot be simplified. Thus, here is the answer to the square root of 60387 in its simplest form:

√ 60387 = √ 60387

Here are two different methods we used to determine why the square root of 60387 cannot be simplified.

1) To be able to simplify the square root of 60387, one of the factors of 60387 other than 1 must be a perfect square. The factors of 60387 are 1, 3, 20129, and 60387. Since none of these factors are perfect squares, the square root of 60387 cannot be simplified.

2) To be able to simplify the square root of 60387, all the prime factors of 60387 cannot be unique. When we did prime factorization of 60387, we found that 3 x 20129 equals 60387. Since all the prime factors are unique, the square root of 60387 cannot be simplified.

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