Simplify Square Root of 4728

Here we will show you step-by-step how to simplify the square root of 4728. The square root of 4728 can be written as follows:


	√	4728

The √ symbol is called the radical sign. To simplify the square root of 4728 means to get the simplest radical form of √4728.

Step 1: List Factors
List the factors of 4728 like so:

1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728

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

1, 4

Step 3: Divide
Divide 4728 by the largest perfect square you found in the previous step:

4728 / 4 = 1182

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4728 in its simplest form:


2	√	1182

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Decimal Form
Square Root of 4728 in Decimal form rounded to nearest 5 decimals:

68.76045

Exponent Form
Square Root of 4728 written with Exponent instead of Radical:

4728^½ = 2 x 1182^½

Simplify Square Root of 4729
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* List of Perfect Squares