Simplify Square Root of 2272

Here we will show you step-by-step how to simplify the square root of 2272. The square root of 2272 can be written as follows:


	√	2272

The √ symbol is called the radical sign. To simplify the square root of 2272 means to get the simplest radical form of √2272.

Step 1: List Factors
List the factors of 2272 like so:

1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272

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

1, 4, 16

Step 3: Divide
Divide 2272 by the largest perfect square you found in the previous step:

2272 / 16 = 142

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 2272 in its simplest form:


4	√	142

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Decimal Form
Square Root of 2272 in Decimal form rounded to nearest 5 decimals:

47.6655

Exponent Form
Square Root of 2272 written with Exponent instead of Radical:

2272^½ = 4 x 142^½

Simplify Square Root of 2273
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* List of Perfect Squares