Simplify Square Root of 2700

Here we will show you step-by-step how to simplify the square root of 2700. The square root of 2700 can be written as follows:


	√	2700

The √ symbol is called the radical sign. To simplify the square root of 2700 means to get the simplest radical form of √2700.

Step 1: List Factors
List the factors of 2700 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700

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

1, 4, 9, 25, 36, 100, 225, 900

Step 3: Divide
Divide 2700 by the largest perfect square you found in the previous step:

2700 / 900 = 3

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

√900 = 30

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2700 in its simplest form:


30	√	3

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Decimal Form
Square Root of 2700 in Decimal form rounded to nearest 5 decimals:

51.96152

Exponent Form
Square Root of 2700 written with Exponent instead of Radical:

2700^½ = 30 x 3^½

Simplify Square Root of 2701
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* List of Perfect Squares