Question

√(-6) * √(-15) ??

Answer 1

root a times root b = root a times b

Answer 2

\[\sqrt{-x} \times \sqrt{-y} = \sqrt{x \times y}\]

Answer 3

not quite ... if you get something negative inside root ... don't expect real.

Answer 4

So we will use complex here..

Answer 5

yep ...

Answer 6

\[\sqrt{-x} \times \sqrt{-y} \implies i \sqrt{x} \times i \sqrt{y} \implies i^2 \sqrt{xy} \implies - \sqrt{xy}\]

Answer 7

yep!! when you multiply complex number ... the 'r' part get's multiplied ... while 'theta' part get's added.

Answer 8

http://www.wolframalpha.com/input/?i=sqrt%28-3%29+sqrt%28-5%29

Answer 9

Can you explain this r and theta concept more to me by taking an example ??