Simplify Square Root of 480

Here we will show you step-by-step how to simplify the square root of 480. The square root of 480 can be written as follows:


	√	480

The √ symbol is called the radical sign. To simplify the square root of 480 means to get the simplest radical form of √480.

Step 1: List Factors
List the factors of 480 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

1, 4, 16

Step 3: Divide
Divide 480 by the largest perfect square you found in the previous step:

480 / 16 = 30

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 480 in its simplest form:


4	√	30

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Decimal Form
Square Root of 480 in Decimal form rounded to nearest 5 decimals:

21.9089

Exponent Form
Square Root of 480 written with Exponent instead of Radical:

480^½ = 4 x 30^½

Simplify Square Root of 481
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* List of Perfect Squares