Simplify Square Root of 6720

Here we will show you step-by-step how to simplify the square root of 6720. The square root of 6720 can be written as follows:


	√	6720

The √ symbol is called the radical sign. To simplify the square root of 6720 means to get the simplest radical form of √6720.

Step 1: List Factors
List the factors of 6720 like so:

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720

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

1, 4, 16, 64

Step 3: Divide
Divide 6720 by the largest perfect square you found in the previous step:

6720 / 64 = 105

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6720 in its simplest form:


8	√	105

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Decimal Form
Square Root of 6720 in Decimal form rounded to nearest 5 decimals:

81.97561

Exponent Form
Square Root of 6720 written with Exponent instead of Radical:

6720^½ = 8 x 105^½

Simplify Square Root of 6721
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* List of Perfect Squares