Simplify Square Root of 5072

Here we will show you step-by-step how to simplify the square root of 5072. The square root of 5072 can be written as follows:


	√	5072

The √ symbol is called the radical sign. To simplify the square root of 5072 means to get the simplest radical form of √5072.

Step 1: List Factors
List the factors of 5072 like so:

1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072

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

1, 4, 16

Step 3: Divide
Divide 5072 by the largest perfect square you found in the previous step:

5072 / 16 = 317

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 5072 in its simplest form:


4	√	317

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Decimal Form
Square Root of 5072 in Decimal form rounded to nearest 5 decimals:

71.21798

Exponent Form
Square Root of 5072 written with Exponent instead of Radical:

5072^½ = 4 x 317^½

Simplify Square Root of 5073
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* List of Perfect Squares