Simplify Square Root of 8000

Here we will show you step-by-step how to simplify the square root of 8000. The square root of 8000 can be written as follows:


	√	8000

The √ symbol is called the radical sign. To simplify the square root of 8000 means to get the simplest radical form of √8000.

Step 1: List Factors
List the factors of 8000 like so:

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000

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 8000 by the largest perfect square you found in the previous step:

8000 / 1600 = 5

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 8000 in its simplest form:


40	√	5

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 8000 in Decimal form rounded to nearest 5 decimals:

89.44272

Exponent Form
Square Root of 8000 written with Exponent instead of Radical:

8000^½ = 40 x 5^½

Simplify Square Root of 8001
The answer to Simplify Square Root of 8000 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares