Simplify Square Root of 9326

What is the square root of 9326 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.

√9326 = A√B

Unfortunately, the square root of 9326 cannot be simplified. Thus, here is the answer to the square root of 9326 in its simplest form:

√ 9326 = √ 9326

Here are two different methods we used to determine why the square root of 9326 cannot be simplified.

1) To be able to simplify the square root of 9326, one of the factors of 9326 other than 1 must be a perfect square. The factors of 9326 are 1, 2, 4663, and 9326. Since none of these factors are perfect squares, the square root of 9326 cannot be simplified.

2) To be able to simplify the square root of 9326, all the prime factors of 9326 cannot be unique. When we did prime factorization of 9326, we found that 2 x 4663 equals 9326. Since all the prime factors are unique, the square root of 9326 cannot be simplified.

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