Simplify Square Root of 6296

Here we will show you step-by-step how to simplify the square root of 6296. The square root of 6296 can be written as follows:


	√	6296

The √ symbol is called the radical sign. To simplify the square root of 6296 means to get the simplest radical form of √6296.

Step 1: List Factors
List the factors of 6296 like so:

1, 2, 4, 8, 787, 1574, 3148, 6296

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

1, 4

Step 3: Divide
Divide 6296 by the largest perfect square you found in the previous step:

6296 / 4 = 1574

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 6296 in its simplest form:


2	√	1574

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Decimal Form
Square Root of 6296 in Decimal form rounded to nearest 5 decimals:

79.34734

Exponent Form
Square Root of 6296 written with Exponent instead of Radical:

6296^½ = 2 x 1574^½

Simplify Square Root of 6297
The answer to Simplify Square Root of 6296 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares