Simplify Square Root of 117

Here we will show you step-by-step how to simplify the square root of 117. The square root of 117 can be written as follows:


	√	117

The √ symbol is called the radical sign. To simplify the square root of 117 means to get the simplest radical form of √117.

Step 1: List Factors
List the factors of 117 like so:

1, 3, 9, 13, 39, 117

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

1, 9

Step 3: Divide
Divide 117 by the largest perfect square you found in the previous step:

117 / 9 = 13

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 117 in its simplest form:


3	√	13

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

Decimal Form
Square Root of 117 in Decimal form rounded to nearest 5 decimals:

10.81665

Exponent Form
Square Root of 117 written with Exponent instead of Radical:

117^½ = 3 x 13^½

Simplify Square Root of 118
The answer to Simplify Square Root of 117 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares