Simplify Square Root of 68326

What is the square root of 68326 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.

√68326 = A√B

Unfortunately, the square root of 68326 cannot be simplified. Thus, here is the answer to the square root of 68326 in its simplest form:

√ 68326 = √ 68326

Here are two different methods we used to determine why the square root of 68326 cannot be simplified.

1) To be able to simplify the square root of 68326, one of the factors of 68326 other than 1 must be a perfect square. The factors of 68326 are 1, 2, 127, 254, 269, 538, 34163, and 68326. Since none of these factors are perfect squares, the square root of 68326 cannot be simplified.

2) To be able to simplify the square root of 68326, all the prime factors of 68326 cannot be unique. When we did prime factorization of 68326, we found that 2 x 127 x 269 equals 68326. Since all the prime factors are unique, the square root of 68326 cannot be simplified.

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