Question

Hi..Wanna ask this..

Can I get the answer?

Answer 1

\[\frac{ 21.53333 }{ \sqrt{74.9833\times-338.5667} }\]

Answer 2

-0.135147...i

Answer 3

How do you get it?Can you explain that? :)

Answer 4

\[\Large\rm =\frac{ 21.53333 }{ \sqrt{74.9833\times-338.5667} }\]Calculator dude bro :U\[\Large\rm =\frac{ 21.53333 }{ \sqrt{-25386.84844} }\]You get a negative under your root, yes?

Answer 5

Yes, I got negative..

Answer 6

So, can it be settle down?

Answer 7

We can rewrite \(\Large\rm \sqrt{-25386.84844}\) as \(\Large\rm \sqrt{-1}\cdot\sqrt{25386.84844}\)

Answer 8

And then recall that we use i, the imaginary unit, for \(\Large\rm\sqrt{-1}\)

Answer 9

So our expression becomes:\[\Large\rm =\frac{ 21.53333 }{ \mathcal i\sqrt{25386.84844} }\]

Answer 10

But we don't want the \(\Large\rm \mathcal i\) in the denominator,
we'll use this identity:\[\Large\rm \frac{1}{\mathcal i}=-\mathcal i\]

Answer 11

Giving us:\[\Large\rm =\frac{ -21.53333\mathcal i }{\sqrt{25386.84844} }\]

Answer 12

Then use your calculator from there :d
Take the square root.. then divide.

Answer 13

Okay, it's very good explanation. I get that. Tyvm, @zepdrix ..:) Really appreciate that.

Answer 14

cool \c: