Simplify Square Root of 242

Here we will show you step-by-step how to simplify the square root of 242. The square root of 242 can be written as follows:


	√	242

The √ symbol is called the radical sign. To simplify the square root of 242 means to get the simplest radical form of √242.

Step 1: List Factors
List the factors of 242 like so:

1, 2, 11, 22, 121, 242

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

1, 121

Step 3: Divide
Divide 242 by the largest perfect square you found in the previous step:

242 / 121 = 2

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 242 in its simplest form:


11	√	2

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Decimal Form
Square Root of 242 in Decimal form rounded to nearest 5 decimals:

15.55635

Exponent Form
Square Root of 242 written with Exponent instead of Radical:

242^½ = 11 x 2^½

Simplify Square Root of 243
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* List of Perfect Squares