Simplify Square Root of 539

Here we will show you step-by-step how to simplify the square root of 539. The square root of 539 can be written as follows:


	√	539

The √ symbol is called the radical sign. To simplify the square root of 539 means to get the simplest radical form of √539.

Step 1: List Factors
List the factors of 539 like so:

1, 7, 11, 49, 77, 539

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

1, 49

Step 3: Divide
Divide 539 by the largest perfect square you found in the previous step:

539 / 49 = 11

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 539 in its simplest form:


7	√	11

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

Decimal Form
Square Root of 539 in Decimal form rounded to nearest 5 decimals:

23.21637

Exponent Form
Square Root of 539 written with Exponent instead of Radical:

539^½ = 7 x 11^½

Simplify Square Root of 540
The answer to Simplify Square Root of 539 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares