## hawkfalcon 2 years ago Simplifying complex radicals

1. hawkfalcon

$\sqrt{10}(\sqrt{2}+2)$

2. Gungirl4ever1994

would you get the sqrts first?

3. Gungirl4ever1994

then distribute it in the () and go from there?

4. Gungirl4ever1994

does that sound right to do?

5. Gungirl4ever1994

3.16(1.41+2) 4.46+2 6.46 IDK if thats right just trying to help ya but thats the only thing that i can think to do

6. hawkfalcon

I have to keep it radical form :3

7. Gungirl4ever1994

dang umm here let me try something and ill see if i can get it. I teach myself and well I dont have this haha

8. Gungirl4ever1994

what do you know about them.

9. hawkfalcon

I have to simplify it:O

10. hawkfalcon

i know how to do stuff like $3\sqrt{63}$ and such, just not this:P

11. Gungirl4ever1994

im trying to figure it out but I have no clue.... Im sooooooo sorry :/

12. dpaInc

apply the distributive property to the expression...

13. dpaInc

distributive property: $$\large a(b+c)=a\cdot b + a \cdot c$$ then simplify (if possible).

14. hawkfalcon

Hmm. so $\sqrt{10}\sqrt{2} + 2\sqrt{10}$

15. hawkfalcon

Thanks!

16. hawkfalcon

$2\sqrt{5}+2\sqrt{10}$ :D

17. dpaInc

wait... you can simplify the $$\large \sqrt{10}\cdot \sqrt2 = 2\sqrt5$$

18. dpaInc

oh... you're too fast for me...:) good job....

19. hawkfalcon

:D I can do that, I just didn't think about distributing. Thank you:)

20. dpaInc

yw...:)