Simplify Square Root of 2160

Here we will show you step-by-step how to simplify the square root of 2160. The square root of 2160 can be written as follows:


	√	2160

The √ symbol is called the radical sign. To simplify the square root of 2160 means to get the simplest radical form of √2160.

Step 1: List Factors
List the factors of 2160 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 2160 by the largest perfect square you found in the previous step:

2160 / 144 = 15

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2160 in its simplest form:


12	√	15

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Decimal Form
Square Root of 2160 in Decimal form rounded to nearest 5 decimals:

46.4758

Exponent Form
Square Root of 2160 written with Exponent instead of Radical:

2160^½ = 12 x 15^½

Simplify Square Root of 2161
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* List of Perfect Squares