Simplify Square Root of 4800

Here we will show you step-by-step how to simplify the square root of 4800. The square root of 4800 can be written as follows:


	√	4800

The √ symbol is called the radical sign. To simplify the square root of 4800 means to get the simplest radical form of √4800.

Step 1: List Factors
List the factors of 4800 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800

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

1, 4, 16, 25, 64, 100, 400, 1600

Step 3: Divide
Divide 4800 by the largest perfect square you found in the previous step:

4800 / 1600 = 3

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

√1600 = 40

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4800 in its simplest form:


40	√	3

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Decimal Form
Square Root of 4800 in Decimal form rounded to nearest 5 decimals:

69.28203

Exponent Form
Square Root of 4800 written with Exponent instead of Radical:

4800^½ = 40 x 3^½

Simplify Square Root of 4801
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* List of Perfect Squares