Simplify Square Root of 5096

Here we will show you step-by-step how to simplify the square root of 5096. The square root of 5096 can be written as follows:


	√	5096

The √ symbol is called the radical sign. To simplify the square root of 5096 means to get the simplest radical form of √5096.

Step 1: List Factors
List the factors of 5096 like so:

1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096

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

1, 4, 49, 196

Step 3: Divide
Divide 5096 by the largest perfect square you found in the previous step:

5096 / 196 = 26

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 5096 in its simplest form:


14	√	26

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Decimal Form
Square Root of 5096 in Decimal form rounded to nearest 5 decimals:

71.38627

Exponent Form
Square Root of 5096 written with Exponent instead of Radical:

5096^½ = 14 x 26^½

Simplify Square Root of 5097
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* List of Perfect Squares