Simplify Square Root of 6660

Here we will show you step-by-step how to simplify the square root of 6660. The square root of 6660 can be written as follows:


	√	6660

The √ symbol is called the radical sign. To simplify the square root of 6660 means to get the simplest radical form of √6660.

Step 1: List Factors
List the factors of 6660 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660

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

1, 4, 9, 36

Step 3: Divide
Divide 6660 by the largest perfect square you found in the previous step:

6660 / 36 = 185

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6660 in its simplest form:


6	√	185

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Decimal Form
Square Root of 6660 in Decimal form rounded to nearest 5 decimals:

81.60882

Exponent Form
Square Root of 6660 written with Exponent instead of Radical:

6660^½ = 6 x 185^½

Simplify Square Root of 6661
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* List of Perfect Squares