Simplify Square Root of 6740

Here we will show you step-by-step how to simplify the square root of 6740. The square root of 6740 can be written as follows:


	√	6740

The √ symbol is called the radical sign. To simplify the square root of 6740 means to get the simplest radical form of √6740.

Step 1: List Factors
List the factors of 6740 like so:

1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740

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

1, 4

Step 3: Divide
Divide 6740 by the largest perfect square you found in the previous step:

6740 / 4 = 1685

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 6740 in its simplest form:


2	√	1685

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Decimal Form
Square Root of 6740 in Decimal form rounded to nearest 5 decimals:

82.0975

Exponent Form
Square Root of 6740 written with Exponent instead of Radical:

6740^½ = 2 x 1685^½

Simplify Square Root of 6741
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* List of Perfect Squares