Simplify Square Root of 3392

Here we will show you step-by-step how to simplify the square root of 3392. The square root of 3392 can be written as follows:


	√	3392

The √ symbol is called the radical sign. To simplify the square root of 3392 means to get the simplest radical form of √3392.

Step 1: List Factors
List the factors of 3392 like so:

1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392

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

1, 4, 16, 64

Step 3: Divide
Divide 3392 by the largest perfect square you found in the previous step:

3392 / 64 = 53

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3392 in its simplest form:


8	√	53

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Decimal Form
Square Root of 3392 in Decimal form rounded to nearest 5 decimals:

58.24088

Exponent Form
Square Root of 3392 written with Exponent instead of Radical:

3392^½ = 8 x 53^½

Simplify Square Root of 3393
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* List of Perfect Squares