Simplify Square Root of 3408

Here we will show you step-by-step how to simplify the square root of 3408. The square root of 3408 can be written as follows:


	√	3408

The √ symbol is called the radical sign. To simplify the square root of 3408 means to get the simplest radical form of √3408.

Step 1: List Factors
List the factors of 3408 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408

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

1, 4, 16

Step 3: Divide
Divide 3408 by the largest perfect square you found in the previous step:

3408 / 16 = 213

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3408 in its simplest form:


4	√	213

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Decimal Form
Square Root of 3408 in Decimal form rounded to nearest 5 decimals:

58.37808

Exponent Form
Square Root of 3408 written with Exponent instead of Radical:

3408^½ = 4 x 213^½

Simplify Square Root of 3409
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* List of Perfect Squares