Simplify Square Root of 4416

Here we will show you step-by-step how to simplify the square root of 4416. The square root of 4416 can be written as follows:


	√	4416

The √ symbol is called the radical sign. To simplify the square root of 4416 means to get the simplest radical form of √4416.

Step 1: List Factors
List the factors of 4416 like so:

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416

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

1, 4, 16, 64

Step 3: Divide
Divide 4416 by the largest perfect square you found in the previous step:

4416 / 64 = 69

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4416 in its simplest form:


8	√	69

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Decimal Form
Square Root of 4416 in Decimal form rounded to nearest 5 decimals:

66.45299

Exponent Form
Square Root of 4416 written with Exponent instead of Radical:

4416^½ = 8 x 69^½

Simplify Square Root of 4417
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* List of Perfect Squares