Simplify Square Root of 6180

Here we will show you step-by-step how to simplify the square root of 6180. The square root of 6180 can be written as follows:


	√	6180

The √ symbol is called the radical sign. To simplify the square root of 6180 means to get the simplest radical form of √6180.

Step 1: List Factors
List the factors of 6180 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090, 6180

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

1, 4

Step 3: Divide
Divide 6180 by the largest perfect square you found in the previous step:

6180 / 4 = 1545

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 6180 in its simplest form:


2	√	1545

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Decimal Form
Square Root of 6180 in Decimal form rounded to nearest 5 decimals:

78.61298

Exponent Form
Square Root of 6180 written with Exponent instead of Radical:

6180^½ = 2 x 1545^½

Simplify Square Root of 6181
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* List of Perfect Squares