Simplify Square Root of 2288

Here we will show you step-by-step how to simplify the square root of 2288. The square root of 2288 can be written as follows:


	√	2288

The √ symbol is called the radical sign. To simplify the square root of 2288 means to get the simplest radical form of √2288.

Step 1: List Factors
List the factors of 2288 like so:

1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288

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

1, 4, 16

Step 3: Divide
Divide 2288 by the largest perfect square you found in the previous step:

2288 / 16 = 143

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 2288 in its simplest form:


4	√	143

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Decimal Form
Square Root of 2288 in Decimal form rounded to nearest 5 decimals:

47.83304

Exponent Form
Square Root of 2288 written with Exponent instead of Radical:

2288^½ = 4 x 143^½

Simplify Square Root of 2289
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* List of Perfect Squares