Simplify Square Root of 8001

Here we will show you step-by-step how to simplify the square root of 8001. The square root of 8001 can be written as follows:


	√	8001

The √ symbol is called the radical sign. To simplify the square root of 8001 means to get the simplest radical form of √8001.

Step 1: List Factors
List the factors of 8001 like so:

1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001

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

1, 9

Step 3: Divide
Divide 8001 by the largest perfect square you found in the previous step:

8001 / 9 = 889

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8001 in its simplest form:


3	√	889

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Decimal Form
Square Root of 8001 in Decimal form rounded to nearest 5 decimals:

89.44831

Exponent Form
Square Root of 8001 written with Exponent instead of Radical:

8001^½ = 3 x 889^½

Simplify Square Root of 8002
The answer to Simplify Square Root of 8001 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares