Simplify Square Root of 6760

Here we will show you step-by-step how to simplify the square root of 6760. The square root of 6760 can be written as follows:


	√	6760

The √ symbol is called the radical sign. To simplify the square root of 6760 means to get the simplest radical form of √6760.

Step 1: List Factors
List the factors of 6760 like so:

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760

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

1, 4, 169, 676

Step 3: Divide
Divide 6760 by the largest perfect square you found in the previous step:

6760 / 676 = 10

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

√676 = 26

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6760 in its simplest form:


26	√	10

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Decimal Form
Square Root of 6760 in Decimal form rounded to nearest 5 decimals:

82.21922

Exponent Form
Square Root of 6760 written with Exponent instead of Radical:

6760^½ = 26 x 10^½

Simplify Square Root of 6761
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* List of Perfect Squares