Answer: [tex]i^2=-1[/tex]
Step-by-step explanation:
By definition, [tex]i[/tex] is known as "Imaginary unit" (It is also called "Unit imaginary number") and this is:
[tex]i=\sqrt{-1}[/tex]
In this case you need to find [tex]i^2[/tex], so you need to remember the following property:
[tex](\sqrt[n]{a})^n=a[/tex]
Therefore, in order to find [tex]i^2[/tex], you must square both sides of the equation [tex]i=\sqrt{-1}[/tex]:
[tex](i)^2=(\sqrt{-1})^2[/tex]
FInally. you must apply the property shown before. Through this procedure you get that the value of [tex]i^2[/tex] is the shown below:
[tex]i^2=-1[/tex]
