Simplify Square Root of 999

Here we will show you step-by-step how to simplify the square root of 999. The square root of 999 can be written as follows:


	√	999

The √ symbol is called the radical sign. To simplify the square root of 999 means to get the simplest radical form of √999.

Step 1: List Factors
List the factors of 999 like so:

1, 3, 9, 27, 37, 111, 333, 999

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

1, 9

Step 3: Divide
Divide 999 by the largest perfect square you found in the previous step:

999 / 9 = 111

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 999 in its simplest form:


3	√	111

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Decimal Form
Square Root of 999 in Decimal form rounded to nearest 5 decimals:

31.60696

Exponent Form
Square Root of 999 written with Exponent instead of Radical:

999^½ = 3 x 111^½

Simplify Square Root of 1000
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* List of Perfect Squares