Simplify Square Root of 2184

Here we will show you step-by-step how to simplify the square root of 2184. The square root of 2184 can be written as follows:


	√	2184

The √ symbol is called the radical sign. To simplify the square root of 2184 means to get the simplest radical form of √2184.

Step 1: List Factors
List the factors of 2184 like so:

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092, 2184

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

1, 4

Step 3: Divide
Divide 2184 by the largest perfect square you found in the previous step:

2184 / 4 = 546

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 2184 in its simplest form:


2	√	546

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Decimal Form
Square Root of 2184 in Decimal form rounded to nearest 5 decimals:

46.73329

Exponent Form
Square Root of 2184 written with Exponent instead of Radical:

2184^½ = 2 x 546^½

Simplify Square Root of 2185
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* List of Perfect Squares