## anonymous 3 years ago -√3(√-3) help me pleasee

1. anonymous

$$\sqrt{-3}=\sqrt{3}i$$

2. anonymous

i know this is with i agai

3. anonymous

so $-\sqrt{3}\times \sqrt{3}i=-3i$

4. anonymous

ohh so anything with a negative is and imaginary number right

5. anonymous

if you have a negative number inside the radical, then it comes outside as $$i$$

6. anonymous

yeah because a negative isnt possible in square root

7. anonymous

for example $$\sqrt{-25}=\sqrt{25}i=5i$$ and $\sqrt{-3}=\sqrt{3}i$

8. anonymous

i have a few more question like this can i show you and can you tell me if im doing it right?

9. anonymous

√-25√-9 its going to be 5i 3i right?

10. anonymous

yes, that would be the first step

11. anonymous

the second step would be to actually multiply and get $5i\times 3i=15i^2=15\times (-1)=-15$

12. anonymous

the i goes away?

13. anonymous

yes, because $$i=\sqrt{-1}$$ and so $$i^2=-1$$

14. anonymous

oh that makes sense and im sorry i just have two more if u could please check them as well (6i)2 which would be 36i right but if i multiplied 36 by -1 then i get -36 then theres (2+3)(2-3i) im not sure about this one like is it going to be like 5*2-3(-1) ?

15. anonymous

thanks for helping me out im stuck with all this and guys are the best :D