
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:
392½ = 14 x 2½
Simplify Square Root of 393
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* List of Perfect Squares
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