Simplify Square Root of 2216

Here we will show you step-by-step how to simplify the square root of 2216. The square root of 2216 can be written as follows:


	√	2216

The √ symbol is called the radical sign. To simplify the square root of 2216 means to get the simplest radical form of √2216.

Step 1: List Factors
List the factors of 2216 like so:

1, 2, 4, 8, 277, 554, 1108, 2216

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

1, 4

Step 3: Divide
Divide 2216 by the largest perfect square you found in the previous step:

2216 / 4 = 554

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2216 in its simplest form:


2	√	554

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Decimal Form
Square Root of 2216 in Decimal form rounded to nearest 5 decimals:

47.07441

Exponent Form
Square Root of 2216 written with Exponent instead of Radical:

2216^½ = 2 x 554^½

Simplify Square Root of 2217
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* List of Perfect Squares