Simplify Square Root of 801

Here we will show you step-by-step how to simplify the square root of 801. The square root of 801 can be written as follows:


	√	801

The √ symbol is called the radical sign. To simplify the square root of 801 means to get the simplest radical form of √801.

Step 1: List Factors
List the factors of 801 like so:

1, 3, 9, 89, 267, 801

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

1, 9

Step 3: Divide
Divide 801 by the largest perfect square you found in the previous step:

801 / 9 = 89

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 801 in its simplest form:


3	√	89

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Decimal Form
Square Root of 801 in Decimal form rounded to nearest 5 decimals:

28.30194

Exponent Form
Square Root of 801 written with Exponent instead of Radical:

801^½ = 3 x 89^½

Simplify Square Root of 802
The answer to Simplify Square Root of 801 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares