Simplify Square Root of 4224

Here we will show you step-by-step how to simplify the square root of 4224. The square root of 4224 can be written as follows:


	√	4224

The √ symbol is called the radical sign. To simplify the square root of 4224 means to get the simplest radical form of √4224.

Step 1: List Factors
List the factors of 4224 like so:

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224

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

1, 4, 16, 64

Step 3: Divide
Divide 4224 by the largest perfect square you found in the previous step:

4224 / 64 = 66

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 4224 in its simplest form:


8	√	66

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Decimal Form
Square Root of 4224 in Decimal form rounded to nearest 5 decimals:

64.99231

Exponent Form
Square Root of 4224 written with Exponent instead of Radical:

4224^½ = 8 x 66^½

Simplify Square Root of 4225
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* List of Perfect Squares