Simplify Square Root of 4400

Here we will show you step-by-step how to simplify the square root of 4400. The square root of 4400 can be written as follows:


	√	4400

The √ symbol is called the radical sign. To simplify the square root of 4400 means to get the simplest radical form of √4400.

Step 1: List Factors
List the factors of 4400 like so:

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 4400 by the largest perfect square you found in the previous step:

4400 / 400 = 11

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

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4400 in its simplest form:


20	√	11

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Decimal Form
Square Root of 4400 in Decimal form rounded to nearest 5 decimals:

66.3325

Exponent Form
Square Root of 4400 written with Exponent instead of Radical:

4400^½ = 20 x 11^½

Simplify Square Root of 4401
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* List of Perfect Squares