Simplify Square Root of 6776

Here we will show you step-by-step how to simplify the square root of 6776. The square root of 6776 can be written as follows:


	√	6776

The √ symbol is called the radical sign. To simplify the square root of 6776 means to get the simplest radical form of √6776.

Step 1: List Factors
List the factors of 6776 like so:

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776

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

1, 4, 121, 484

Step 3: Divide
Divide 6776 by the largest perfect square you found in the previous step:

6776 / 484 = 14

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

√484 = 22

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6776 in its simplest form:


22	√	14

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Decimal Form
Square Root of 6776 in Decimal form rounded to nearest 5 decimals:

82.31646

Exponent Form
Square Root of 6776 written with Exponent instead of Radical:

6776^½ = 22 x 14^½

Simplify Square Root of 6777
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* List of Perfect Squares