Simplify Square Root of 1216

Here we will show you step-by-step how to simplify the square root of 1216. The square root of 1216 can be written as follows:


	√	1216

The √ symbol is called the radical sign. To simplify the square root of 1216 means to get the simplest radical form of √1216.

Step 1: List Factors
List the factors of 1216 like so:

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216

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

1, 4, 16, 64

Step 3: Divide
Divide 1216 by the largest perfect square you found in the previous step:

1216 / 64 = 19

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1216 in its simplest form:


8	√	19

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Decimal Form
Square Root of 1216 in Decimal form rounded to nearest 5 decimals:

34.87119

Exponent Form
Square Root of 1216 written with Exponent instead of Radical:

1216^½ = 8 x 19^½

Simplify Square Root of 1217
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* List of Perfect Squares