Simplify Square Root of 1998




Here we will show you step-by-step how to simplify the square root of 1998. The square root of 1998 can be written as follows:
     
  1998  

The √ symbol is called the radical sign. To simplify the square root of 1998 means to get the simplest radical form of √1998.

Step 1: List Factors
List the factors of 1998 like so:

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998

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

1, 9

Step 3: Divide
Divide 1998 by the largest perfect square you found in the previous step:

1998 / 9 = 222

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 1998 in its simplest form:
     
3 222  


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Decimal Form
Square Root of 1998 in Decimal form rounded to nearest 5 decimals:

44.69899

Exponent Form
Square Root of 1998 written with Exponent instead of Radical:

1998½ = 3 x 222½

Simplify Square Root of 1999
The answer to Simplify Square Root of 1998 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares




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