Question

How do I simplify \[i + 6i\]?

Answer 1

Hint:Iota (“i”) is known as the complex number whose value is minus root one, it was found by the mathematician to deal the negative sign under root, previously when this was not defined then if negative sign comes under root then there was no solution for that, but after this research complex terms can now easily be solved and tackled.

Complete step by step solution:
The given equation is \[i + 6i\] Here the given equation is a complex number equation and the rule of simple mathematics that is real number mathematics is also applied here in the same way except when the equation given is not linear, if the given equation is in linear form then you can do the calculation as you do in linear equation of one variable.
So here the given complex equation can be added and written as:
\[
= i + 6i \\
= 7i \\
\]
This is our required answer for the above equation.

Additional Information: Dealing with the complex equation you have to be careful only when you are dealing in a higher degree equation because there the value of “iota” is given as for higher degree terms and accordingly the question is needed to be solved.

Note: After the development of iota, research leads with the formulas associated and the properties like summation, subtraction, multiplication and division for the complex numbers. Graphs for complex numbers are also designed and the area under which graph is drawn contains complex numbers only, but the relation between complex and real numbers can be drawn.