Simplify Square Root of 2016

Here we will show you step-by-step how to simplify the square root of 2016. The square root of 2016 can be written as follows:


	√	2016

The √ symbol is called the radical sign. To simplify the square root of 2016 means to get the simplest radical form of √2016.

Step 1: List Factors
List the factors of 2016 like so:

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 2016 by the largest perfect square you found in the previous step:

2016 / 144 = 14

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2016 in its simplest form:


12	√	14

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Decimal Form
Square Root of 2016 in Decimal form rounded to nearest 5 decimals:

44.89989

Exponent Form
Square Root of 2016 written with Exponent instead of Radical:

2016^½ = 12 x 14^½

Simplify Square Root of 2017
The answer to Simplify Square Root of 2016 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares