Simplify Square Root of 2268

Here we will show you step-by-step how to simplify the square root of 2268. The square root of 2268 can be written as follows:


	√	2268

The √ symbol is called the radical sign. To simplify the square root of 2268 means to get the simplest radical form of √2268.

Step 1: List Factors
List the factors of 2268 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268

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

1, 4, 9, 36, 81, 324

Step 3: Divide
Divide 2268 by the largest perfect square you found in the previous step:

2268 / 324 = 7

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

√324 = 18

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2268 in its simplest form:


18	√	7

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Decimal Form
Square Root of 2268 in Decimal form rounded to nearest 5 decimals:

47.62352

Exponent Form
Square Root of 2268 written with Exponent instead of Radical:

2268^½ = 18 x 7^½

Simplify Square Root of 2269
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* List of Perfect Squares