Simplify Square Root of 4480

Here we will show you step-by-step how to simplify the square root of 4480. The square root of 4480 can be written as follows:


	√	4480

The √ symbol is called the radical sign. To simplify the square root of 4480 means to get the simplest radical form of √4480.

Step 1: List Factors
List the factors of 4480 like so:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480

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

1, 4, 16, 64

Step 3: Divide
Divide 4480 by the largest perfect square you found in the previous step:

4480 / 64 = 70

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 4480 in its simplest form:


8	√	70

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Decimal Form
Square Root of 4480 in Decimal form rounded to nearest 5 decimals:

66.9328

Exponent Form
Square Root of 4480 written with Exponent instead of Radical:

4480^½ = 8 x 70^½

Simplify Square Root of 4481
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* List of Perfect Squares