Simplify Square Root of 2112

Here we will show you step-by-step how to simplify the square root of 2112. The square root of 2112 can be written as follows:


	√	2112

The √ symbol is called the radical sign. To simplify the square root of 2112 means to get the simplest radical form of √2112.

Step 1: List Factors
List the factors of 2112 like so:

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112

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

1, 4, 16, 64

Step 3: Divide
Divide 2112 by the largest perfect square you found in the previous step:

2112 / 64 = 33

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 2112 in its simplest form:


8	√	33

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Decimal Form
Square Root of 2112 in Decimal form rounded to nearest 5 decimals:

45.9565

Exponent Form
Square Root of 2112 written with Exponent instead of Radical:

2112^½ = 8 x 33^½

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* List of Perfect Squares