Simplify Square Root of 2241

Here we will show you step-by-step how to simplify the square root of 2241. The square root of 2241 can be written as follows:


	√	2241

The √ symbol is called the radical sign. To simplify the square root of 2241 means to get the simplest radical form of √2241.

Step 1: List Factors
List the factors of 2241 like so:

1, 3, 9, 27, 83, 249, 747, 2241

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

1, 9

Step 3: Divide
Divide 2241 by the largest perfect square you found in the previous step:

2241 / 9 = 249

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2241 in its simplest form:


3	√	249

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Decimal Form
Square Root of 2241 in Decimal form rounded to nearest 5 decimals:

47.3392

Exponent Form
Square Root of 2241 written with Exponent instead of Radical:

2241^½ = 3 x 249^½

Simplify Square Root of 2242
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* List of Perfect Squares