Simplify Square Root of 8056

Here we will show you step-by-step how to simplify the square root of 8056. The square root of 8056 can be written as follows:


	√	8056

The √ symbol is called the radical sign. To simplify the square root of 8056 means to get the simplest radical form of √8056.

Step 1: List Factors
List the factors of 8056 like so:

1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056

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

1, 4

Step 3: Divide
Divide 8056 by the largest perfect square you found in the previous step:

8056 / 4 = 2014

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8056 in its simplest form:


2	√	2014

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Decimal Form
Square Root of 8056 in Decimal form rounded to nearest 5 decimals:

89.75522

Exponent Form
Square Root of 8056 written with Exponent instead of Radical:

8056^½ = 2 x 2014^½

Simplify Square Root of 8057
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* List of Perfect Squares