Simplify Square Root of 6762

Here we will show you step-by-step how to simplify the square root of 6762. The square root of 6762 can be written as follows:


	√	6762

The √ symbol is called the radical sign. To simplify the square root of 6762 means to get the simplest radical form of √6762.

Step 1: List Factors
List the factors of 6762 like so:

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762

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

1, 49

Step 3: Divide
Divide 6762 by the largest perfect square you found in the previous step:

6762 / 49 = 138

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6762 in its simplest form:


7	√	138

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Decimal Form
Square Root of 6762 in Decimal form rounded to nearest 5 decimals:

82.23138

Exponent Form
Square Root of 6762 written with Exponent instead of Radical:

6762^½ = 7 x 138^½

Simplify Square Root of 6763
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* List of Perfect Squares