Simplify Square Root of 392

Here we will show you step-by-step how to simplify the square root of 392. The square root of 392 can be written as follows:


	√	392

The √ symbol is called the radical sign. To simplify the square root of 392 means to get the simplest radical form of √392.

Step 1: List Factors
List the factors of 392 like so:

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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

1, 4, 49, 196

Step 3: Divide
Divide 392 by the largest perfect square you found in the previous step:

392 / 196 = 2

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 392 in its simplest form:


14	√	2

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Decimal Form
Square Root of 392 in Decimal form rounded to nearest 5 decimals:

19.79899

Exponent Form
Square Root of 392 written with Exponent instead of Radical:

392^½ = 14 x 2^½

Simplify Square Root of 393
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* List of Perfect Squares