Simplify Square Root of 2208

Here we will show you step-by-step how to simplify the square root of 2208. The square root of 2208 can be written as follows:


	√	2208

The √ symbol is called the radical sign. To simplify the square root of 2208 means to get the simplest radical form of √2208.

Step 1: List Factors
List the factors of 2208 like so:

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208

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

1, 4, 16

Step 3: Divide
Divide 2208 by the largest perfect square you found in the previous step:

2208 / 16 = 138

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2208 in its simplest form:


4	√	138

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Decimal Form
Square Root of 2208 in Decimal form rounded to nearest 5 decimals:

46.98936

Exponent Form
Square Root of 2208 written with Exponent instead of Radical:

2208^½ = 4 x 138^½

Simplify Square Root of 2209
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* List of Perfect Squares