Simplify Square Root of 4704

Here we will show you step-by-step how to simplify the square root of 4704. The square root of 4704 can be written as follows:


	√	4704

The √ symbol is called the radical sign. To simplify the square root of 4704 means to get the simplest radical form of √4704.

Step 1: List Factors
List the factors of 4704 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704

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

1, 4, 16, 49, 196, 784

Step 3: Divide
Divide 4704 by the largest perfect square you found in the previous step:

4704 / 784 = 6

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

√784 = 28

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4704 in its simplest form:


28	√	6

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Decimal Form
Square Root of 4704 in Decimal form rounded to nearest 5 decimals:

68.58571

Exponent Form
Square Root of 4704 written with Exponent instead of Radical:

4704^½ = 28 x 6^½

Simplify Square Root of 4705
The answer to Simplify Square Root of 4704 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares