Simplify Square Root of 6468

Here we will show you step-by-step how to simplify the square root of 6468. The square root of 6468 can be written as follows:


	√	6468

The √ symbol is called the radical sign. To simplify the square root of 6468 means to get the simplest radical form of √6468.

Step 1: List Factors
List the factors of 6468 like so:

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 132, 147, 154, 196, 231, 294, 308, 462, 539, 588, 924, 1078, 1617, 2156, 3234, 6468

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

1, 4, 49, 196

Step 3: Divide
Divide 6468 by the largest perfect square you found in the previous step:

6468 / 196 = 33

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6468 in its simplest form:


14	√	33

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Decimal Form
Square Root of 6468 in Decimal form rounded to nearest 5 decimals:

80.42388

Exponent Form
Square Root of 6468 written with Exponent instead of Radical:

6468^½ = 14 x 33^½

Simplify Square Root of 6469
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* List of Perfect Squares