Simplify Square Root of 2262

What is the square root of 2262 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.

√2262 = A√B

Unfortunately, the square root of 2262 cannot be simplified. Thus, here is the answer to the square root of 2262 in its simplest form:

√ 2262 = √ 2262

Here are two different methods we used to determine why the square root of 2262 cannot be simplified.

1) To be able to simplify the square root of 2262, one of the factors of 2262 other than 1 must be a perfect square. The factors of 2262 are 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131, and 2262. Since none of these factors are perfect squares, the square root of 2262 cannot be simplified.

2) To be able to simplify the square root of 2262, all the prime factors of 2262 cannot be unique. When we did prime factorization of 2262, we found that 2 x 3 x 13 x 29 equals 2262. Since all the prime factors are unique, the square root of 2262 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 2263
Here is the next square root on our list that we have simplifed.