Question

i hate throwing up at morning lol
but have a qs to do cud anyone help ?
will fan+medal

Answer 1

Verify that
(√2 − i) − i(1 −√2i) = −2i

Answer 2

Okay let's begin this:
\[(\sqrt{2}-i)-i(1-\sqrt{2}i)\]
I'll begin this by applying distributive property on the second member with that "i":
\[(\sqrt{2}-i)-i+\sqrt{2}i ^{2}\]
Now, we'll have to take back what we learned in complet numbers, we know that:
\[i=\sqrt{-1}\]
But what will happen if I square it, if i=sqrt (-1) then:
\[i ^{2}=(\sqrt{-1})^{2}\]
\[i ^{2}=-1\]
Let's go back to the problem and apply what we just deduced:
\[(\sqrt{2}-i)-i+\sqrt{2}(-1)\]
Now it's just a matter of operating:
\[(\sqrt{2}-i)-i-\sqrt{2}\]
\[\sqrt{2}-i-i-\sqrt{2}=-i-i=2i\]
Therefore:
\[(\sqrt{2}-i)-i(1-\sqrt{2}i)=2i\]

Answer 3

sweet !
i got it nw ty alote ^^