Simplify Square Root of 5168

Here we will show you step-by-step how to simplify the square root of 5168. The square root of 5168 can be written as follows:


	√	5168

The √ symbol is called the radical sign. To simplify the square root of 5168 means to get the simplest radical form of √5168.

Step 1: List Factors
List the factors of 5168 like so:

1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584, 5168

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

1, 4, 16

Step 3: Divide
Divide 5168 by the largest perfect square you found in the previous step:

5168 / 16 = 323

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 5168 in its simplest form:


4	√	323

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Decimal Form
Square Root of 5168 in Decimal form rounded to nearest 5 decimals:

71.8888

Exponent Form
Square Root of 5168 written with Exponent instead of Radical:

5168^½ = 4 x 323^½

Simplify Square Root of 5169
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* List of Perfect Squares