Simplify Square Root of 800

Here we will show you step-by-step how to simplify the square root of 800. The square root of 800 can be written as follows:


	√	800

The √ symbol is called the radical sign. To simplify the square root of 800 means to get the simplest radical form of √800.

Step 1: List Factors
List the factors of 800 like so:

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 800 by the largest perfect square you found in the previous step:

800 / 400 = 2

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

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 800 in its simplest form:


20	√	2

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Decimal Form
Square Root of 800 in Decimal form rounded to nearest 5 decimals:

28.28427

Exponent Form
Square Root of 800 written with Exponent instead of Radical:

800^½ = 20 x 2^½

Simplify Square Root of 801
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* List of Perfect Squares