Simplify Square Root of 5104

Here we will show you step-by-step how to simplify the square root of 5104. The square root of 5104 can be written as follows:


	√	5104

The √ symbol is called the radical sign. To simplify the square root of 5104 means to get the simplest radical form of √5104.

Step 1: List Factors
List the factors of 5104 like so:

1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104

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

1, 4, 16

Step 3: Divide
Divide 5104 by the largest perfect square you found in the previous step:

5104 / 16 = 319

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 5104 in its simplest form:


4	√	319

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Decimal Form
Square Root of 5104 in Decimal form rounded to nearest 5 decimals:

71.44228

Exponent Form
Square Root of 5104 written with Exponent instead of Radical:

5104^½ = 4 x 319^½

Simplify Square Root of 5105
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* List of Perfect Squares