Simplify Square Root of 1188

Here we will show you step-by-step how to simplify the square root of 1188. The square root of 1188 can be written as follows:


	√	1188

The √ symbol is called the radical sign. To simplify the square root of 1188 means to get the simplest radical form of √1188.

Step 1: List Factors
List the factors of 1188 like so:

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188

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

1, 4, 9, 36

Step 3: Divide
Divide 1188 by the largest perfect square you found in the previous step:

1188 / 36 = 33

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1188 in its simplest form:


6	√	33

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Decimal Form
Square Root of 1188 in Decimal form rounded to nearest 5 decimals:

34.46738

Exponent Form
Square Root of 1188 written with Exponent instead of Radical:

1188^½ = 6 x 33^½

Simplify Square Root of 1189
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* List of Perfect Squares