Simplify Square Root of 5484

Here we will show you step-by-step how to simplify the square root of 5484. The square root of 5484 can be written as follows:


	√	5484

The √ symbol is called the radical sign. To simplify the square root of 5484 means to get the simplest radical form of √5484.

Step 1: List Factors
List the factors of 5484 like so:

1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484

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

1, 4

Step 3: Divide
Divide 5484 by the largest perfect square you found in the previous step:

5484 / 4 = 1371

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5484 in its simplest form:


2	√	1371

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Decimal Form
Square Root of 5484 in Decimal form rounded to nearest 5 decimals:

74.05403

Exponent Form
Square Root of 5484 written with Exponent instead of Radical:

5484^½ = 2 x 1371^½

Simplify Square Root of 5485
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* List of Perfect Squares