Simplify Square Root of 6768

Here we will show you step-by-step how to simplify the square root of 6768. The square root of 6768 can be written as follows:


	√	6768

The √ symbol is called the radical sign. To simplify the square root of 6768 means to get the simplest radical form of √6768.

Step 1: List Factors
List the factors of 6768 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384, 6768

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 6768 by the largest perfect square you found in the previous step:

6768 / 144 = 47

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6768 in its simplest form:


12	√	47

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Decimal Form
Square Root of 6768 in Decimal form rounded to nearest 5 decimals:

82.26786

Exponent Form
Square Root of 6768 written with Exponent instead of Radical:

6768^½ = 12 x 47^½

Simplify Square Root of 6769
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* List of Perfect Squares