Simplify Square Root of 80

Here we will show you step-by-step how to simplify the square root of 80. The square root of 80 can be written as follows:


	√	80

The √ symbol is called the radical sign. To simplify the square root of 80 means to get the simplest radical form of √80.

Step 1: List Factors
List the factors of 80 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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

1, 4, 16

Step 3: Divide
Divide 80 by the largest perfect square you found in the previous step:

80 / 16 = 5

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 80 in its simplest form:


4	√	5

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Decimal Form
Square Root of 80 in Decimal form rounded to nearest 5 decimals:

8.94427

Exponent Form
Square Root of 80 written with Exponent instead of Radical:

80^½ = 4 x 5^½

Simplify Square Root of 81
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* List of Perfect Squares