Simplify Square Root of 1164

Here we will show you step-by-step how to simplify the square root of 1164. The square root of 1164 can be written as follows:


	√	1164

The √ symbol is called the radical sign. To simplify the square root of 1164 means to get the simplest radical form of √1164.

Step 1: List Factors
List the factors of 1164 like so:

1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164

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

1, 4

Step 3: Divide
Divide 1164 by the largest perfect square you found in the previous step:

1164 / 4 = 291

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 1164 in its simplest form:


2	√	291

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Decimal Form
Square Root of 1164 in Decimal form rounded to nearest 5 decimals:

34.11744

Exponent Form
Square Root of 1164 written with Exponent instead of Radical:

1164^½ = 2 x 291^½

Simplify Square Root of 1165
The answer to Simplify Square Root of 1164 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares