Simplify Square Root of 3456

Here we will show you step-by-step how to simplify the square root of 3456. The square root of 3456 can be written as follows:


	√	3456

The √ symbol is called the radical sign. To simplify the square root of 3456 means to get the simplest radical form of √3456.

Step 1: List Factors
List the factors of 3456 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456

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

1, 4, 9, 16, 36, 64, 144, 576

Step 3: Divide
Divide 3456 by the largest perfect square you found in the previous step:

3456 / 576 = 6

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

√576 = 24

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3456 in its simplest form:


24	√	6

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Decimal Form
Square Root of 3456 in Decimal form rounded to nearest 5 decimals:

58.78775

Exponent Form
Square Root of 3456 written with Exponent instead of Radical:

3456^½ = 24 x 6^½

Simplify Square Root of 3457
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* List of Perfect Squares