Show that (-1+ 3 i)^3 is a real number. - Vidyadip

Question

Show that $(-1+\sqrt{ } 3 i)^3$ is a real number.

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the following Question.(1 Marks)" from Complex Numbers→Complex Numbers — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $\sin^2\text{x}+\sin^2\text{ x}=1,$ then write the value of $\cos^8\text{x}+2\cos^6\text{x}+\cos^4\text{ x}.$

If the minor axis of an ellipse subtends an equilateral triangle with vertex at one end of major axis, then write the eccentricity of the ellipse.

Compute:
$\left(\frac{12}{6}\right) !$

Write in terms of factorials
$5 \times 6 \times 7 \times 8 \times 9 \times 10$

Write the maximum number of points of intersection of 8 straight lines in a plane.

Find the nth term and hence find the 8th term of the following HPs.

$\frac{1}{4}, \frac{1}{6}, \frac{1}{8}, \frac{1}{10}, \ldots$

If $f(m)=m^2-3 m+1$, find$f(0)$

For the following G.P.s, find $S_n.: 0.7, 0.07, 0.007, …….$

Solve the following for $x$, where $|x|$ is modulus function, $[x]$ is the greatest integer function, $\{x\}$ is a fractional part function.$[x-2]+[x+2]+\{x\}=0$

Describe the following sets in Roster form:
{x ∈ N : x is a prime number, 10 < x < 20};