Simplify Square Root of 4116

Here we will show you step-by-step how to simplify the square root of 4116. The square root of 4116 can be written as follows:


	√	4116

The √ symbol is called the radical sign. To simplify the square root of 4116 means to get the simplest radical form of √4116.

Step 1: List Factors
List the factors of 4116 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116

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

1, 4, 49, 196

Step 3: Divide
Divide 4116 by the largest perfect square you found in the previous step:

4116 / 196 = 21

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4116 in its simplest form:


14	√	21

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Decimal Form
Square Root of 4116 in Decimal form rounded to nearest 5 decimals:

64.15606

Exponent Form
Square Root of 4116 written with Exponent instead of Radical:

4116^½ = 14 x 21^½

Simplify Square Root of 4117
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* List of Perfect Squares