Simplify Square Root of 216

Here we will show you step-by-step how to simplify the square root of 216. The square root of 216 can be written as follows:


	√	216

The √ symbol is called the radical sign. To simplify the square root of 216 means to get the simplest radical form of √216.

Step 1: List Factors
List the factors of 216 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

1, 4, 9, 36

Step 3: Divide
Divide 216 by the largest perfect square you found in the previous step:

216 / 36 = 6

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 216 in its simplest form:


6	√	6

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Decimal Form
Square Root of 216 in Decimal form rounded to nearest 5 decimals:

14.69694

Exponent Form
Square Root of 216 written with Exponent instead of Radical:

216^½ = 6 x 6^½

Simplify Square Root of 217
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* List of Perfect Squares