Simplify Square Root of 3104

Here we will show you step-by-step how to simplify the square root of 3104. The square root of 3104 can be written as follows:


	√	3104

The √ symbol is called the radical sign. To simplify the square root of 3104 means to get the simplest radical form of √3104.

Step 1: List Factors
List the factors of 3104 like so:

1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104

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

1, 4, 16

Step 3: Divide
Divide 3104 by the largest perfect square you found in the previous step:

3104 / 16 = 194

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 3104 in its simplest form:


4	√	194

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Decimal Form
Square Root of 3104 in Decimal form rounded to nearest 5 decimals:

55.71355

Exponent Form
Square Root of 3104 written with Exponent instead of Radical:

3104^½ = 4 x 194^½

Simplify Square Root of 3105
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* List of Perfect Squares