Simplify Square Root of 2223

Here we will show you step-by-step how to simplify the square root of 2223. The square root of 2223 can be written as follows:


	√	2223

The √ symbol is called the radical sign. To simplify the square root of 2223 means to get the simplest radical form of √2223.

Step 1: List Factors
List the factors of 2223 like so:

1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 741, 2223

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

1, 9

Step 3: Divide
Divide 2223 by the largest perfect square you found in the previous step:

2223 / 9 = 247

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 2223 in its simplest form:


3	√	247

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Decimal Form
Square Root of 2223 in Decimal form rounded to nearest 5 decimals:

47.1487

Exponent Form
Square Root of 2223 written with Exponent instead of Radical:

2223^½ = 3 x 247^½

Simplify Square Root of 2224
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* List of Perfect Squares