Simplify Square Root of 4256

Here we will show you step-by-step how to simplify the square root of 4256. The square root of 4256 can be written as follows:


	√	4256

The √ symbol is called the radical sign. To simplify the square root of 4256 means to get the simplest radical form of √4256.

Step 1: List Factors
List the factors of 4256 like so:

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256

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

1, 4, 16

Step 3: Divide
Divide 4256 by the largest perfect square you found in the previous step:

4256 / 16 = 266

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 4256 in its simplest form:


4	√	266

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Decimal Form
Square Root of 4256 in Decimal form rounded to nearest 5 decimals:

65.23803

Exponent Form
Square Root of 4256 written with Exponent instead of Radical:

4256^½ = 4 x 266^½

Simplify Square Root of 4257
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* List of Perfect Squares