Simplify Square Root of 3424

Here we will show you step-by-step how to simplify the square root of 3424. The square root of 3424 can be written as follows:


	√	3424

The √ symbol is called the radical sign. To simplify the square root of 3424 means to get the simplest radical form of √3424.

Step 1: List Factors
List the factors of 3424 like so:

1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424

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

1, 4, 16

Step 3: Divide
Divide 3424 by the largest perfect square you found in the previous step:

3424 / 16 = 214

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 3424 in its simplest form:


4	√	214

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Decimal Form
Square Root of 3424 in Decimal form rounded to nearest 5 decimals:

58.51496

Exponent Form
Square Root of 3424 written with Exponent instead of Radical:

3424^½ = 4 x 214^½

Simplify Square Root of 3425
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* List of Perfect Squares