Simplify Square Root of 2256

Here we will show you step-by-step how to simplify the square root of 2256. The square root of 2256 can be written as follows:


	√	2256

The √ symbol is called the radical sign. To simplify the square root of 2256 means to get the simplest radical form of √2256.

Step 1: List Factors
List the factors of 2256 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 47, 48, 94, 141, 188, 282, 376, 564, 752, 1128, 2256

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

1, 4, 16

Step 3: Divide
Divide 2256 by the largest perfect square you found in the previous step:

2256 / 16 = 141

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 2256 in its simplest form:


4	√	141

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Decimal Form
Square Root of 2256 in Decimal form rounded to nearest 5 decimals:

47.49737

Exponent Form
Square Root of 2256 written with Exponent instead of Radical:

2256^½ = 4 x 141^½

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* List of Perfect Squares