Simplify Square Root of 5056

Here we will show you step-by-step how to simplify the square root of 5056. The square root of 5056 can be written as follows:


	√	5056

The √ symbol is called the radical sign. To simplify the square root of 5056 means to get the simplest radical form of √5056.

Step 1: List Factors
List the factors of 5056 like so:

1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056

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

1, 4, 16, 64

Step 3: Divide
Divide 5056 by the largest perfect square you found in the previous step:

5056 / 64 = 79

Step 4: Calculate
Calculate the square root of the largest perfect square:

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5056 in its simplest form:


8	√	79

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Decimal Form
Square Root of 5056 in Decimal form rounded to nearest 5 decimals:

71.10556

Exponent Form
Square Root of 5056 written with Exponent instead of Radical:

5056^½ = 8 x 79^½

Simplify Square Root of 5057
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* List of Perfect Squares