Show that if \( a, b, c, d \in \mathbf{R} \), \[ \overline{(a+i b)(...

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=ngVjj_6kAOU



Duration: 0:00
4 views
0


Show that if \( a, b, c, d \in \mathbf{R} \),
\[
\overline{(a+i b)(c+i d)}=(a-i b)(c-i d) \text {. }
\]
P
W
📲 PW App Link - https://bit.ly/YTAI_PWAP
🌐 PW Website - https://www.pw.live/




Other Videos By PW Solutions


2023-02-25FCr any two complex numbers \( z_{1} \) and \( z_{2} \), prove that...
2023-02-25Solve the following equations : \[ x^{2}-(3 \sqrt{2}+2 i) x+6 \sqrt...
2023-02-25Solve the following equations : \[ x^{2}-(3 \sqrt{2}-2 i) x-6 \sqrt...
2023-02-25Solve the following equations : \[ 2 x^{2}+3 i x+2=0 \text {. } \] ...
2023-02-25Find the reciprocal of : \[ 7+\sqrt{7} i \] W
2023-02-25Find the values of \( x \) and \( y \) if : \[ \frac{(1+i) x-2 i}{3...
2023-02-25If \( i z^{3}+z^{2}-z+i=0 \), then show that \( |z|=1 \). P W
2023-02-25If \( x+i y=\sqrt{\frac{a+i b}{c+i d}} \), prove that \[ \left(x^{2...
2023-02-25Find the values of \( x \) and \( y \) if : \[ (x+i y)(1+i)=1-i \] ...
2023-02-25If \( z_{1}, z_{2} \) are respectively \( 1-i,-2+4 i \), find \( \m...
2023-02-25Show that if \( a, b, c, d \in \mathbf{R} \), \[ \overline{(a+i b)(...
2023-02-25If \( 1+4 \sqrt{3} i=(a+i b)^{2} \), prove that : \[ a^{2}-b^{2}=1 ...
2023-02-25Find the sum and product of the complex numbers : \[ -\sqrt{3}+\sqr...
2023-02-25Prove that : \( z=-\bar{z} \) iff \( z \) is either zero or purely ...
2023-02-25Let \( z_{1}=2-3 i \) and \( z_{2}=5+12 i \), verify that \[ \there...
2023-02-25Find the reciprocal of : \[ 7+\sqrt{7} i \] W
2023-02-25Find the reciprocal of : \[ i-5 \] P
2023-02-25Perform the following by the indicated operations. Express the resu...
2023-02-25Compute: \( \quad \sqrt{-49}(2+\sqrt{-9}) \) P W
2023-02-25Show that \( (-\sqrt{-1})^{4 n+3}=i \), where \( n \) is a positive...
2023-02-25Prrform the following by the indicated operations. Express the resu...