Simplify Square Root of 2800

Here we will show you step-by-step how to simplify the square root of 2800. The square root of 2800 can be written as follows:


	√	2800

The √ symbol is called the radical sign. To simplify the square root of 2800 means to get the simplest radical form of √2800.

Step 1: List Factors
List the factors of 2800 like so:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800

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 2800 by the largest perfect square you found in the previous step:

2800 / 400 = 7

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 2800 in its simplest form:


20	√	7

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Decimal Form
Square Root of 2800 in Decimal form rounded to nearest 5 decimals:

52.91503

Exponent Form
Square Root of 2800 written with Exponent instead of Radical:

2800^½ = 20 x 7^½

Simplify Square Root of 2801
The answer to Simplify Square Root of 2800 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares