Simplify Square Root of 6780

Here we will show you step-by-step how to simplify the square root of 6780. The square root of 6780 can be written as follows:


	√	6780

The √ symbol is called the radical sign. To simplify the square root of 6780 means to get the simplest radical form of √6780.

Step 1: List Factors
List the factors of 6780 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780

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

1, 4

Step 3: Divide
Divide 6780 by the largest perfect square you found in the previous step:

6780 / 4 = 1695

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 6780 in its simplest form:


2	√	1695

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Decimal Form
Square Root of 6780 in Decimal form rounded to nearest 5 decimals:

82.34076

Exponent Form
Square Root of 6780 written with Exponent instead of Radical:

6780^½ = 2 x 1695^½

Simplify Square Root of 6781
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* List of Perfect Squares