Simplify Square Root of 1213

What is the square root of 1213 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.

√1213 = A√B

Unfortunately, the square root of 1213 cannot be simplified. Thus, here is the answer to the square root of 1213 in its simplest form:

√ 1213 = √ 1213

Here are two different methods we used to determine why the square root of 1213 cannot be simplified.

1) To be able to simplify the square root of 1213, one of the factors of 1213 other than 1 must be a perfect square. The factors of 1213 are 1 and 1213. Since none of these factors are perfect squares, the square root of 1213 cannot be simplified.

2) To be able to simplify the square root of 1213, all the prime factors of 1213 cannot be unique. When we did prime factorization of 1213, we found that 1213 equals 1213. Since all the prime factors are unique, the square root of 1213 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 1214
Here is the next square root on our list that we have simplifed.