## nisa Group Title -√3(√-3) help me pleasee one year ago one year ago

1. satellite73 Group Title

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

2. nisa Group Title

i know this is with i agai

3. satellite73 Group Title

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

4. nisa Group Title

ohh so anything with a negative is and imaginary number right

5. satellite73 Group Title

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

6. nisa Group Title

yeah because a negative isnt possible in square root

7. satellite73 Group Title

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

8. nisa Group Title

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

9. nisa Group Title

√-25√-9 its going to be 5i 3i right?

10. satellite73 Group Title

yes, that would be the first step

11. satellite73 Group Title

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

12. nisa Group Title

the i goes away?

13. satellite73 Group Title

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

14. nisa Group Title

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. nisa Group Title

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