Simplify Square Root of 4114

Here we will show you step-by-step how to simplify the square root of 4114. The square root of 4114 can be written as follows:


	√	4114

The √ symbol is called the radical sign. To simplify the square root of 4114 means to get the simplest radical form of √4114.

Step 1: List Factors
List the factors of 4114 like so:

1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114

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

1, 121

Step 3: Divide
Divide 4114 by the largest perfect square you found in the previous step:

4114 / 121 = 34

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4114 in its simplest form:


11	√	34

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Decimal Form
Square Root of 4114 in Decimal form rounded to nearest 5 decimals:

64.14047

Exponent Form
Square Root of 4114 written with Exponent instead of Radical:

4114^½ = 11 x 34^½

Simplify Square Root of 4115
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* List of Perfect Squares