Question

The points representing $\sqrt[3]{\sqrt{5} + i\sqrt{3}}$lie on a

• A. Circle with centre at (0, 0) and radius $2\sqrt{2}$
• B. Straight line
• C. Circle with centre at (0, 0) and radius $\sqrt{2}$
• D. None of these

Answer 1

Answer: (C)

Circle with centre at (0, 0) and radius $\sqrt{2}$

Answer 2

Sol. If z = $\sqrt[3]{\sqrt{5} + i\sqrt{3}}$, z³ = $\sqrt{5} + i\sqrt{3}$ z³ =

$(\sqrt{2})^{3}$ Q | z =$\sqrt{2}$

z lies on a circle with centre at (0, 0) and radius $\sqrt{2}$