Simplify Square Root of 336

Here we will show you step-by-step how to simplify the square root of 336. The square root of 336 can be written as follows:


	√	336

The √ symbol is called the radical sign. To simplify the square root of 336 means to get the simplest radical form of √336.

Step 1: List Factors
List the factors of 336 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

1, 4, 16

Step 3: Divide
Divide 336 by the largest perfect square you found in the previous step:

336 / 16 = 21

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 336 in its simplest form:


4	√	21

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Decimal Form
Square Root of 336 in Decimal form rounded to nearest 5 decimals:

18.3303

Exponent Form
Square Root of 336 written with Exponent instead of Radical:

336^½ = 4 x 21^½

Simplify Square Root of 337
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* List of Perfect Squares