Simplify Square Root of 660

Here we will show you step-by-step how to simplify the square root of 660. The square root of 660 can be written as follows:


	√	660

The √ symbol is called the radical sign. To simplify the square root of 660 means to get the simplest radical form of √660.

Step 1: List Factors
List the factors of 660 like so:

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

1, 4

Step 3: Divide
Divide 660 by the largest perfect square you found in the previous step:

660 / 4 = 165

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 660 in its simplest form:


2	√	165

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Decimal Form
Square Root of 660 in Decimal form rounded to nearest 5 decimals:

25.69047

Exponent Form
Square Root of 660 written with Exponent instead of Radical:

660^½ = 2 x 165^½

Simplify Square Root of 661
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* List of Perfect Squares