Simplify Square Root of 2200

Here we will show you step-by-step how to simplify the square root of 2200. The square root of 2200 can be written as follows:


	√	2200

The √ symbol is called the radical sign. To simplify the square root of 2200 means to get the simplest radical form of √2200.

Step 1: List Factors
List the factors of 2200 like so:

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200

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

1, 4, 25, 100

Step 3: Divide
Divide 2200 by the largest perfect square you found in the previous step:

2200 / 100 = 22

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2200 in its simplest form:


10	√	22

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Decimal Form
Square Root of 2200 in Decimal form rounded to nearest 5 decimals:

46.90416

Exponent Form
Square Root of 2200 written with Exponent instead of Radical:

2200^½ = 10 x 22^½

Simplify Square Root of 2201
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* List of Perfect Squares