Simplify Square Root of 3366

Here we will show you step-by-step how to simplify the square root of 3366. The square root of 3366 can be written as follows:


	√	3366

The √ symbol is called the radical sign. To simplify the square root of 3366 means to get the simplest radical form of √3366.

Step 1: List Factors
List the factors of 3366 like so:

1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366

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

1, 9

Step 3: Divide
Divide 3366 by the largest perfect square you found in the previous step:

3366 / 9 = 374

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3366 in its simplest form:


3	√	374

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Decimal Form
Square Root of 3366 in Decimal form rounded to nearest 5 decimals:

58.01724

Exponent Form
Square Root of 3366 written with Exponent instead of Radical:

3366^½ = 3 x 374^½

Simplify Square Root of 3367
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* List of Perfect Squares