Simplify Square Root of 264

Here we will show you step-by-step how to simplify the square root of 264. The square root of 264 can be written as follows:


	√	264

The √ symbol is called the radical sign. To simplify the square root of 264 means to get the simplest radical form of √264.

Step 1: List Factors
List the factors of 264 like so:

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

1, 4

Step 3: Divide
Divide 264 by the largest perfect square you found in the previous step:

264 / 4 = 66

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 264 in its simplest form:


2	√	66

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 264 in Decimal form rounded to nearest 5 decimals:

16.24808

Exponent Form
Square Root of 264 written with Exponent instead of Radical:

264^½ = 2 x 66^½

Simplify Square Root of 265
The answer to Simplify Square Root of 264 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares