shows that equation is true

[shahar]

How to show that

is true?

 

[BigBeachBanana]

How to show that
View attachment 32052
is true?

Yes, it's true.
Hint: Express [imath]\sqrt{-7}[/imath] in terms of [imath]i[/imath].

 

[shahar]

Yes, it's true.
Hint: Express [imath]\sqrt{-7}[/imath] in terms of [imath]i[/imath].

How I open the expression with power of 4?

 

[BigBeachBanana]

How I open the expression with power of 4?

\(\displaystyle ((1+\sqrt{-7})^2)^2\)
Just expand. Similar for the other term.

 

[shahar]

\(\displaystyle ((1+\sqrt{-7})^2)^2\)
Similar for the other term.

Thanks.

 

[Deleted member 4993]

How to show that
View attachment 32052
is true?

I would use D'Moivere's theorem → a + ib = r * e^iΘ