Q1 of 153 Page 14

Write the value of the square root of i.

Let ……………….1

Squaring both sides, we get

i² = (a²-b²) +2aib

By comparing real and imaginary term, we get

2ab = 1 and a²-b² = 0

By solving these we get

By putting value of a and b in 1, we get

If z₁, z₂ and z₃, z₄ are two pairs of conjugate complex numbers, prove that

Express in polar form.

Write the values of the square root of –i.

If then write the value of (x² + y²)².