Simplify Square Root of 1112

Here we will show you step-by-step how to simplify the square root of 1112. The square root of 1112 can be written as follows:


	√	1112

The √ symbol is called the radical sign. To simplify the square root of 1112 means to get the simplest radical form of √1112.

Step 1: List Factors
List the factors of 1112 like so:

1, 2, 4, 8, 139, 278, 556, 1112

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

1, 4

Step 3: Divide
Divide 1112 by the largest perfect square you found in the previous step:

1112 / 4 = 278

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1112 in its simplest form:


2	√	278

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Decimal Form
Square Root of 1112 in Decimal form rounded to nearest 5 decimals:

33.34666

Exponent Form
Square Root of 1112 written with Exponent instead of Radical:

1112^½ = 2 x 278^½

Simplify Square Root of 1113
The answer to Simplify Square Root of 1112 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares