Simplify Square Root of 6256

Here we will show you step-by-step how to simplify the square root of 6256. The square root of 6256 can be written as follows:


	√	6256

The √ symbol is called the radical sign. To simplify the square root of 6256 means to get the simplest radical form of √6256.

Step 1: List Factors
List the factors of 6256 like so:

1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256

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

1, 4, 16

Step 3: Divide
Divide 6256 by the largest perfect square you found in the previous step:

6256 / 16 = 391

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 6256 in its simplest form:


4	√	391

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Decimal Form
Square Root of 6256 in Decimal form rounded to nearest 5 decimals:

79.09488

Exponent Form
Square Root of 6256 written with Exponent instead of Radical:

6256^½ = 4 x 391^½

Simplify Square Root of 6257
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* List of Perfect Squares