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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