Simplify Square Root of 5500

Here we will show you step-by-step how to simplify the square root of 5500. The square root of 5500 can be written as follows:


	√	5500

The √ symbol is called the radical sign. To simplify the square root of 5500 means to get the simplest radical form of √5500.

Step 1: List Factors
List the factors of 5500 like so:

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 125, 220, 250, 275, 500, 550, 1100, 1375, 2750, 5500

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

1, 4, 25, 100

Step 3: Divide
Divide 5500 by the largest perfect square you found in the previous step:

5500 / 100 = 55

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 5500 in its simplest form:


10	√	55

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Decimal Form
Square Root of 5500 in Decimal form rounded to nearest 5 decimals:

74.16198

Exponent Form
Square Root of 5500 written with Exponent instead of Radical:

5500^½ = 10 x 55^½

Simplify Square Root of 5501
The answer to Simplify Square Root of 5500 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares