Question
Class 11MathematicsComplex Numbers and Quadratic Equations

Express the following in the form a + ib:

5 + √2i/1 - √2i

Verified Answer

5 + √2i/1 - √2i = 5 + √2i/1 - √2i × 1 + √2i/1 + √2i = 5 + 5√2i + √2i - 2/1 - (√2i)2

= 3 + 6√2i/1 + 2 = 3(1 + 2√2i)/3 = 1 + 2√2i