Simplify Square Root of 338

Here we will show you step-by-step how to simplify the square root of 338. The square root of 338 can be written as follows:


	√	338

The √ symbol is called the radical sign. To simplify the square root of 338 means to get the simplest radical form of √338.

Step 1: List Factors
List the factors of 338 like so:

1, 2, 13, 26, 169, 338

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

1, 169

Step 3: Divide
Divide 338 by the largest perfect square you found in the previous step:

338 / 169 = 2

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

√169 = 13

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 338 in its simplest form:


13	√	2

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Decimal Form
Square Root of 338 in Decimal form rounded to nearest 5 decimals:

18.38478

Exponent Form
Square Root of 338 written with Exponent instead of Radical:

338^½ = 13 x 2^½

Simplify Square Root of 339
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* List of Perfect Squares