Simplify Square Root of 3300

Here we will show you step-by-step how to simplify the square root of 3300. The square root of 3300 can be written as follows:


	√	3300

The √ symbol is called the radical sign. To simplify the square root of 3300 means to get the simplest radical form of √3300.

Step 1: List Factors
List the factors of 3300 like so:

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300

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

1, 4, 25, 100

Step 3: Divide
Divide 3300 by the largest perfect square you found in the previous step:

3300 / 100 = 33

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 3300 in its simplest form:


10	√	33

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Decimal Form
Square Root of 3300 in Decimal form rounded to nearest 5 decimals:

57.44563

Exponent Form
Square Root of 3300 written with Exponent instead of Radical:

3300^½ = 10 x 33^½

Simplify Square Root of 3301
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* List of Perfect Squares