Simplify Square Root of 5600

Here we will show you step-by-step how to simplify the square root of 5600. The square root of 5600 can be written as follows:


	√	5600

The √ symbol is called the radical sign. To simplify the square root of 5600 means to get the simplest radical form of √5600.

Step 1: List Factors
List the factors of 5600 like so:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600

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 5600 by the largest perfect square you found in the previous step:

5600 / 400 = 14

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 5600 in its simplest form:


20	√	14

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Decimal Form
Square Root of 5600 in Decimal form rounded to nearest 5 decimals:

74.83315

Exponent Form
Square Root of 5600 written with Exponent instead of Radical:

5600^½ = 20 x 14^½

Simplify Square Root of 5601
The answer to Simplify Square Root of 5600 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares