Correctomundo! Remember that trick that Tom reminded you of -- you'll use it a lot.Hollysmoke said:I got 3+4i for the answer.
The expression (10 + 5i) / (2 - i) simplifies to 4 + 4i.
To simplify the expression (10 + 5i) / (2 - i), you can use the complex conjugate method. Multiply the numerator and denominator by the conjugate of the denominator, which is (2 + i). This will result in a real number in the denominator, making it easier to simplify.
A complex conjugate is a pair of complex numbers that have the same real part but opposite imaginary parts. For example, the complex conjugate of 2 + 3i is 2 - 3i.
We use the complex conjugate method to simplify complex expressions because it allows us to eliminate the imaginary number in the denominator and simplify the expression into a real number.
Yes, (10 + 5i) / (2 - i) is a rational expression because it is a ratio of two polynomials, where the denominator is not equal to zero.