Simplify Square Root of 71326

What is the square root of 71326 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.

√71326 = A√B

Unfortunately, the square root of 71326 cannot be simplified. Thus, here is the answer to the square root of 71326 in its simplest form:

√ 71326 = √ 71326

Here are two different methods we used to determine why the square root of 71326 cannot be simplified.

1) To be able to simplify the square root of 71326, one of the factors of 71326 other than 1 must be a perfect square. The factors of 71326 are 1, 2, 19, 38, 1877, 3754, 35663, and 71326. Since none of these factors are perfect squares, the square root of 71326 cannot be simplified.

2) To be able to simplify the square root of 71326, all the prime factors of 71326 cannot be unique. When we did prime factorization of 71326, we found that 2 x 19 x 1877 equals 71326. Since all the prime factors are unique, the square root of 71326 cannot be simplified.

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