Simplify Square Root of 2212

Here we will show you step-by-step how to simplify the square root of 2212. The square root of 2212 can be written as follows:


	√	2212

The √ symbol is called the radical sign. To simplify the square root of 2212 means to get the simplest radical form of √2212.

Step 1: List Factors
List the factors of 2212 like so:

1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212

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

1, 4

Step 3: Divide
Divide 2212 by the largest perfect square you found in the previous step:

2212 / 4 = 553

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 2212 in its simplest form:


2	√	553

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Decimal Form
Square Root of 2212 in Decimal form rounded to nearest 5 decimals:

47.0319

Exponent Form
Square Root of 2212 written with Exponent instead of Radical:

2212^½ = 2 x 553^½

Simplify Square Root of 2213
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* List of Perfect Squares