Simplify Square Root of 5400

Here we will show you step-by-step how to simplify the square root of 5400. The square root of 5400 can be written as follows:


	√	5400

The √ symbol is called the radical sign. To simplify the square root of 5400 means to get the simplest radical form of √5400.

Step 1: List Factors
List the factors of 5400 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400

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 5400 by the largest perfect square you found in the previous step:

5400 / 900 = 6

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 5400 in its simplest form:


30	√	6

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Decimal Form
Square Root of 5400 in Decimal form rounded to nearest 5 decimals:

73.48469

Exponent Form
Square Root of 5400 written with Exponent instead of Radical:

5400^½ = 30 x 6^½

Simplify Square Root of 5401
The answer to Simplify Square Root of 5400 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares