Simplify Square Root of 5439

Here we will show you step-by-step how to simplify the square root of 5439. The square root of 5439 can be written as follows:


	√	5439

The √ symbol is called the radical sign. To simplify the square root of 5439 means to get the simplest radical form of √5439.

Step 1: List Factors
List the factors of 5439 like so:

1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439

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

1, 49

Step 3: Divide
Divide 5439 by the largest perfect square you found in the previous step:

5439 / 49 = 111

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5439 in its simplest form:


7	√	111

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Decimal Form
Square Root of 5439 in Decimal form rounded to nearest 5 decimals:

73.74958

Exponent Form
Square Root of 5439 written with Exponent instead of Radical:

5439^½ = 7 x 111^½

Simplify Square Root of 5440
The answer to Simplify Square Root of 5439 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares