Simplify Square Root of 112

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Here we will show you step-by-step how to simplify the square root of 112. The square root of 112 can be written as follows:


	√	112

The √ symbol is called the radical sign. To simplify the square root of 112 means to get the simplest radical form of √112.

Step 1: List Factors
List the factors of 112 like so:

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

1, 4, 16

Step 3: Divide
Divide 112 by the largest perfect square you found in the previous step:

112 / 16 = 7

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 112 in its simplest form:


4	√	7

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Decimal Form
Square Root of 112 in Decimal form rounded to nearest 5 decimals:

10.58301

Exponent Form
Square Root of 112 written with Exponent instead of Radical:

112^½ = 4 x 7^½

Simplify Square Root of 113
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* List of Perfect Squares