Question
Find the square root of the following complex numbers:3 + 2√10 i

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

Similar questions

A sequence $a_1, a_2, a_3, ...$ is defined by letting $a_1 = 3$ and $a_k = 7a_k - 1$ for all natural numbers $\text{k}\geq2.$ Show that $a_n = 3.7^{n-1}$ for all^$\text{n}\in\text{N}.$
If $A=\left[\begin{array}{lll}1 & 0 & 1 \\ 3 & 1 & 2\end{array}\right], B=\left[\begin{array}{lll}2 & 1 & -4 \\ 3 & 5 & -2\end{array}\right]$ and $C=\left[\begin{array}{ccc}0 & 2 & 3 \\ -1 & -1 & 0\end{array}\right]$, verify that $(A+2 B+$

$3 C)^{\top}=A^{\top}+2 B^{\top}+3 C^{\top}$.

The upper part of a tree broken by the wind makes an angle of 30° with the ground and the distance from the root to the point where the top of the tree touches the ground is 15m. Using sine rule, find the height of the tree.
Tangents are drawn through a point $P$ to the ellipse $4 x^2+5 y^2=20$ having inclinations $\theta_1$

and $\theta_2$ such that $\tan \theta_1+\tan \theta_2=2$. Find the equation of the locus of $P$.

Prove by the method of induction, for all n ∈ N.

$3^n-2 n-1$ is divisible by 4 .

Find sum of these numbers in G.P. is $21$ and the sum of their aquares is $189$. Find the numbers.
calculate the mean deviation from the mean for the following data:
$36, 72, 46, 42, 60, 45, 53, 46, 51, 49$
Find equations of the line which contains the point A(l, 3) and the sum of whose intercepts on the co-ordinate axes is zero.
Find the sum of infinite terms of $1+\frac{4}{5}+\frac{7}{25}+\frac{10}{125}+\frac{13}{625}+\ldots$
Find the mean deviation from the mean for the following data:
classes
0-10
10-20
20-30
30-40
40-50
50-60
Frequencies
6
8
14
16
4
2