Simplify Square Root of 6408

Here we will show you step-by-step how to simplify the square root of 6408. The square root of 6408 can be written as follows:


	√	6408

The √ symbol is called the radical sign. To simplify the square root of 6408 means to get the simplest radical form of √6408.

Step 1: List Factors
List the factors of 6408 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204, 6408

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

1, 4, 9, 36

Step 3: Divide
Divide 6408 by the largest perfect square you found in the previous step:

6408 / 36 = 178

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6408 in its simplest form:


6	√	178

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Decimal Form
Square Root of 6408 in Decimal form rounded to nearest 5 decimals:

80.04998

Exponent Form
Square Root of 6408 written with Exponent instead of Radical:

6408^½ = 6 x 178^½

Simplify Square Root of 6409
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* List of Perfect Squares