Simplify Square Root of 32162

What is the square root of 32162 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.

√32162 = A√B

Unfortunately, the square root of 32162 cannot be simplified. Thus, here is the answer to the square root of 32162 in its simplest form:

√ 32162 = √ 32162

Here are two different methods we used to determine why the square root of 32162 cannot be simplified.

1) To be able to simplify the square root of 32162, one of the factors of 32162 other than 1 must be a perfect square. The factors of 32162 are 1, 2, 13, 26, 1237, 2474, 16081, and 32162. Since none of these factors are perfect squares, the square root of 32162 cannot be simplified.

2) To be able to simplify the square root of 32162, all the prime factors of 32162 cannot be unique. When we did prime factorization of 32162, we found that 2 x 13 x 1237 equals 32162. Since all the prime factors are unique, the square root of 32162 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 32163
Here is the next square root on our list that we have simplifed.