Simplify Square Root of 6784

Here we will show you step-by-step how to simplify the square root of 6784. The square root of 6784 can be written as follows:


	√	6784

The √ symbol is called the radical sign. To simplify the square root of 6784 means to get the simplest radical form of √6784.

Step 1: List Factors
List the factors of 6784 like so:

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784

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

1, 4, 16, 64

Step 3: Divide
Divide 6784 by the largest perfect square you found in the previous step:

6784 / 64 = 106

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 6784 in its simplest form:


8	√	106

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Decimal Form
Square Root of 6784 in Decimal form rounded to nearest 5 decimals:

82.36504

Exponent Form
Square Root of 6784 written with Exponent instead of Radical:

6784^½ = 8 x 106^½

Simplify Square Root of 6785
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* List of Perfect Squares