Simplify Square Root of 2214

Here we will show you step-by-step how to simplify the square root of 2214. The square root of 2214 can be written as follows:


	√	2214

The √ symbol is called the radical sign. To simplify the square root of 2214 means to get the simplest radical form of √2214.

Step 1: List Factors
List the factors of 2214 like so:

1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 9

Step 3: Divide
Divide 2214 by the largest perfect square you found in the previous step:

2214 / 9 = 246

Step 4: Calculate
Calculate the square root of the largest perfect square:

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2214 in its simplest form:


3	√	246

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 2214 in Decimal form rounded to nearest 5 decimals:

47.05316

Exponent Form
Square Root of 2214 written with Exponent instead of Radical:

2214^½ = 3 x 246^½

Simplify Square Root of 2215
The answer to Simplify Square Root of 2214 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares