Simplify Square Root of 3328

Here we will show you step-by-step how to simplify the square root of 3328. The square root of 3328 can be written as follows:


	√	3328

The √ symbol is called the radical sign. To simplify the square root of 3328 means to get the simplest radical form of √3328.

Step 1: List Factors
List the factors of 3328 like so:

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 3328 by the largest perfect square you found in the previous step:

3328 / 256 = 13

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3328 in its simplest form:


16	√	13

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Decimal Form
Square Root of 3328 in Decimal form rounded to nearest 5 decimals:

57.68882

Exponent Form
Square Root of 3328 written with Exponent instead of Radical:

3328^½ = 16 x 13^½

Simplify Square Root of 3329
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* List of Perfect Squares