Simplify Square Root of 65338

What is the square root of 65338 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.

√65338 = A√B

Unfortunately, the square root of 65338 cannot be simplified. Thus, here is the answer to the square root of 65338 in its simplest form:

√ 65338 = √ 65338

Here are two different methods we used to determine why the square root of 65338 cannot be simplified.

1) To be able to simplify the square root of 65338, one of the factors of 65338 other than 1 must be a perfect square. The factors of 65338 are 1, 2, 7, 13, 14, 26, 91, 182, 359, 718, 2513, 4667, 5026, 9334, 32669, and 65338. Since none of these factors are perfect squares, the square root of 65338 cannot be simplified.

2) To be able to simplify the square root of 65338, all the prime factors of 65338 cannot be unique. When we did prime factorization of 65338, we found that 2 x 7 x 13 x 359 equals 65338. Since all the prime factors are unique, the square root of 65338 cannot be simplified.

Simplify Square Root
Please enter another square root in the box below for us to simplify for you.

Simplify Square Root of 65339
Here is the next square root on our list that we have simplifed.