Simplify Square Root of 5440

Here we will show you step-by-step how to simplify the square root of 5440. The square root of 5440 can be written as follows:


	√	5440

The √ symbol is called the radical sign. To simplify the square root of 5440 means to get the simplest radical form of √5440.

Step 1: List Factors
List the factors of 5440 like so:

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440

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

1, 4, 16, 64

Step 3: Divide
Divide 5440 by the largest perfect square you found in the previous step:

5440 / 64 = 85

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5440 in its simplest form:


8	√	85

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Decimal Form
Square Root of 5440 in Decimal form rounded to nearest 5 decimals:

73.75636

Exponent Form
Square Root of 5440 written with Exponent instead of Radical:

5440^½ = 8 x 85^½

Simplify Square Root of 5441
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* List of Perfect Squares