
Here we will show you step-by-step how to simplify the square root of 116. The square root of 116 can be written as follows:
√ | 116 |
The √ symbol is called the radical sign. To simplify the square root of 116 means to get the simplest radical form of √116.
Step 1: List Factors
List the factors of 116 like so:
1, 2, 4, 29, 58, 116
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 116 by the largest perfect square you found in the previous step:
116 / 4 = 29
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 116 in its simplest form:
2 | √ | 29 |
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Decimal Form
Square Root of 116 in Decimal form rounded to nearest 5 decimals:
10.77033
Exponent Form
Square Root of 116 written with Exponent instead of Radical:
116½ = 2 x 29½
Simplify Square Root of 117
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* List of Perfect Squares
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