Simplify Square Root of 8816

Here we will show you step-by-step how to simplify the square root of 8816. The square root of 8816 can be written as follows:


	√	8816

The √ symbol is called the radical sign. To simplify the square root of 8816 means to get the simplest radical form of √8816.

Step 1: List Factors
List the factors of 8816 like so:

1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816

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

1, 4, 16

Step 3: Divide
Divide 8816 by the largest perfect square you found in the previous step:

8816 / 16 = 551

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 8816 in its simplest form:


4	√	551

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Decimal Form
Square Root of 8816 in Decimal form rounded to nearest 5 decimals:

93.89356

Exponent Form
Square Root of 8816 written with Exponent instead of Radical:

8816^½ = 4 x 551^½

Simplify Square Root of 8817
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* List of Perfect Squares