Simplify Square Root of 68965

What is the square root of 68965 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.

√68965 = A√B

Unfortunately, the square root of 68965 cannot be simplified. Thus, here is the answer to the square root of 68965 in its simplest form:

√ 68965 = √ 68965

Here are two different methods we used to determine why the square root of 68965 cannot be simplified.

1) To be able to simplify the square root of 68965, one of the factors of 68965 other than 1 must be a perfect square. The factors of 68965 are 1, 5, 13, 65, 1061, 5305, 13793, and 68965. Since none of these factors are perfect squares, the square root of 68965 cannot be simplified.

2) To be able to simplify the square root of 68965, all the prime factors of 68965 cannot be unique. When we did prime factorization of 68965, we found that 5 x 13 x 1061 equals 68965. Since all the prime factors are unique, the square root of 68965 cannot be simplified.

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