Simplify Square Root of 144




Here we will show you step-by-step how to simplify the square root of 144. The square root of 144 can be written as follows:
     
  144  

The √ symbol is called the radical sign. To simplify the square root of 144 means to get the simplest radical form of √144.

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

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

1, 4, 9, 16, 36, 144

Since 144 is on the list of perfect squares above, it means that 144 is a perfect square.

That means you can simplify the square root of 144 without the radical as follows:

12


Furthermore, you may also be interested to know that the square root of 144 can be written with an Exponent like this:

144½

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Simplify Square Root of 145
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* List of Perfect Squares




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