Simplify Square Root of 198

Here we will show you step-by-step how to simplify the square root of 198. The square root of 198 can be written as follows:


	√	198

The √ symbol is called the radical sign. To simplify the square root of 198 means to get the simplest radical form of √198.

Step 1: List Factors
List the factors of 198 like so:

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

1, 9

Step 3: Divide
Divide 198 by the largest perfect square you found in the previous step:

198 / 9 = 22

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 198 in its simplest form:


3	√	22

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Decimal Form
Square Root of 198 in Decimal form rounded to nearest 5 decimals:

14.07125

Exponent Form
Square Root of 198 written with Exponent instead of Radical:

198^½ = 3 x 22^½

Simplify Square Root of 199
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* List of Perfect Squares