Simplify Square Root of 2187

Here we will show you step-by-step how to simplify the square root of 2187. The square root of 2187 can be written as follows:


	√	2187

The √ symbol is called the radical sign. To simplify the square root of 2187 means to get the simplest radical form of √2187.

Step 1: List Factors
List the factors of 2187 like so:

1, 3, 9, 27, 81, 243, 729, 2187

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

1, 9, 81, 729

Step 3: Divide
Divide 2187 by the largest perfect square you found in the previous step:

2187 / 729 = 3

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

√729 = 27

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2187 in its simplest form:


27	√	3

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Decimal Form
Square Root of 2187 in Decimal form rounded to nearest 5 decimals:

46.76537

Exponent Form
Square Root of 2187 written with Exponent instead of Radical:

2187^½ = 27 x 3^½

Simplify Square Root of 2188
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* List of Perfect Squares