Simplify Square Root of 6744

Here we will show you step-by-step how to simplify the square root of 6744. The square root of 6744 can be written as follows:


	√	6744

The √ symbol is called the radical sign. To simplify the square root of 6744 means to get the simplest radical form of √6744.

Step 1: List Factors
List the factors of 6744 like so:

1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744

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

1, 4

Step 3: Divide
Divide 6744 by the largest perfect square you found in the previous step:

6744 / 4 = 1686

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6744 in its simplest form:


2	√	1686

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Decimal Form
Square Root of 6744 in Decimal form rounded to nearest 5 decimals:

82.12186

Exponent Form
Square Root of 6744 written with Exponent instead of Radical:

6744^½ = 2 x 1686^½

Simplify Square Root of 6745
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* List of Perfect Squares