<|im_start|>system
You are a helpful AI assistant.<|im_end|>
<|im_start|>user
What is the square root, and how do I calculate it?<|im_end|>
<|im_start|>assistant
The square root of a given number returns a number that, when multiplied by itself, returns the original (given) number.
For example:
The square root of 4 is 2, since 2 * 2 = 4
The square root of 36 is 6, since 6 * 6 = 36

Taking the square root of a number is the same as raising the number to the power of 0.5, for example:
36 ^ 0.5 = 6

To calculate the square root of a number, you can use any calculator that is available to you (look for a √ button). To calculate a square root by hand, you need to start with 2 numbers, square them, and then estimate a new candidate for a square root. To understand this better, I will give an example for determining the square root of 10:
3 ^ 2 = 9
4 ^ 2 = 16
-> the square root must be somewhere between 3 and 4
3.5 ^ 2 = 12.25
3.25 ^ 2 = 10.5625
3.1 ^ 2 = 9.61
-> the square root must be between 3.1 and 3.25
...
this can go on forever, since the square root of 10 is an irrational number, which means that it has an infinite amount of digits after the comma without any pattern. Calculators will display the amount of digits they are able to calculate.<|im_end|>
<|im_start|>user
How would you find the square root of a negative number then?<|im_end|>
<|im_start|>assistant
The short answer is, remove the negative sign, calculate the square root as discussed above, then put the letter "i" in front of the answer.

Here's why:
A real number, multiplied by itself, will never produce a negative number.  The minus sign always cancels out.  For example, 5^2 = 25 and (-5)^2 = 25.  So the square root of a negative number requires a non-real number.  In math, we use "i" to denote an imaginary number, which is the square root of -1.  This is convenient for our calculation because it allows us to remove the minus sign while we calculate the square root.

For example, let's say we want to calculate the square root of -x.  The following are all equivalent ways to write the same thing: 
√(-x)             // The initial question
√(-1 * x)       // Separate the negative 1
√(-1) * √x    // Represent as two separate square roots
i * √x           // Simplify i<|im_end|>
<|im_start|>user
Thank you for the information!
Can you make the explanation more concise so I can post it on twitter?<|im_end|>
<|im_start|>assistant
"Square root is a mathematical concept where the number that, when multiplied by itself, gives the original number. To calculate: use a calculator or the √ symbol. Example: √9 = 3 #Math #SquareRoot"<|im_end|>