Simplify Square Root of 6816

Here we will show you step-by-step how to simplify the square root of 6816. The square root of 6816 can be written as follows:


	√	6816

The √ symbol is called the radical sign. To simplify the square root of 6816 means to get the simplest radical form of √6816.

Step 1: List Factors
List the factors of 6816 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816

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

1, 4, 16

Step 3: Divide
Divide 6816 by the largest perfect square you found in the previous step:

6816 / 16 = 426

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6816 in its simplest form:


4	√	426

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Decimal Form
Square Root of 6816 in Decimal form rounded to nearest 5 decimals:

82.55907

Exponent Form
Square Root of 6816 written with Exponent instead of Radical:

6816^½ = 4 x 426^½

Simplify Square Root of 6817
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* List of Perfect Squares