Simplify Square Root of 9801




Here we will show you step-by-step how to simplify the square root of 9801. The square root of 9801 can be written as follows:
     
  9801  

The √ symbol is called the radical sign. To simplify the square root of 9801 means to get the simplest radical form of √9801.

Step 1: List Factors
List the factors of 81 like so:

1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801

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

1, 9, 81, 121, 1089, 9801

Since 9801 is on the list of perfect squares above, it means that 9801 is a perfect square.

That means you can simplify the square root of 9801 without the radical as follows:

99


Furthermore, you may also be interested to know that the square root of 9801 can be written with an Exponent like this:

9801½

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* List of Perfect Squares




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