Simplify Square Root of 4680

Here we will show you step-by-step how to simplify the square root of 4680. The square root of 4680 can be written as follows:


	√	4680

The √ symbol is called the radical sign. To simplify the square root of 4680 means to get the simplest radical form of √4680.

Step 1: List Factors
List the factors of 4680 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680

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

1, 4, 9, 36

Step 3: Divide
Divide 4680 by the largest perfect square you found in the previous step:

4680 / 36 = 130

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4680 in its simplest form:


6	√	130

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Decimal Form
Square Root of 4680 in Decimal form rounded to nearest 5 decimals:

68.41053

Exponent Form
Square Root of 4680 written with Exponent instead of Radical:

4680^½ = 6 x 130^½

Simplify Square Root of 4681
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* List of Perfect Squares