Simplify Square Root of 1161

Here we will show you step-by-step how to simplify the square root of 1161. The square root of 1161 can be written as follows:


	√	1161

The √ symbol is called the radical sign. To simplify the square root of 1161 means to get the simplest radical form of √1161.

Step 1: List Factors
List the factors of 1161 like so:

1, 3, 9, 27, 43, 129, 387, 1161

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

1, 9

Step 3: Divide
Divide 1161 by the largest perfect square you found in the previous step:

1161 / 9 = 129

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 1161 in its simplest form:


3	√	129

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Decimal Form
Square Root of 1161 in Decimal form rounded to nearest 5 decimals:

34.07345

Exponent Form
Square Root of 1161 written with Exponent instead of Radical:

1161^½ = 3 x 129^½

Simplify Square Root of 1162
The answer to Simplify Square Root of 1161 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares