Simplify Square Root of 352

Here we will show you step-by-step how to simplify the square root of 352. The square root of 352 can be written as follows:


	√	352

The √ symbol is called the radical sign. To simplify the square root of 352 means to get the simplest radical form of √352.

Step 1: List Factors
List the factors of 352 like so:

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

1, 4, 16

Step 3: Divide
Divide 352 by the largest perfect square you found in the previous step:

352 / 16 = 22

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 352 in its simplest form:


4	√	22

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Decimal Form
Square Root of 352 in Decimal form rounded to nearest 5 decimals:

18.76166

Exponent Form
Square Root of 352 written with Exponent instead of Radical:

352^½ = 4 x 22^½

Simplify Square Root of 353
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* List of Perfect Squares