## anonymous 5 years ago 5 sqrt10(18 - sqrt6)

1. anonymous

Are you asking $5\sqrt{10(18-\sqrt{6})}$?

2. anonymous

no 5 sqrt10 (18- sqrt6)

3. anonymous

So... $5\sqrt{10}(18-\sqrt{6})$?

4. anonymous

yes

5. anonymous

$90\sqrt{10}-5\sqrt{60}$ $90\sqrt{10}-10\sqrt{15}$

6. anonymous

how did you get the 15?

7. anonymous

5*sqrt(60) = 5*sqrt(4)*sqrt(15)=5*2*sqrt(15)=10*sqrt(15).

8. anonymous

ok thanks i got it can i ask another question?

9. anonymous

Sure... just post another one, unless your question pertains to the one you just asked me.

10. anonymous

sqrt5 divided by 18 + sqrt3

11. anonymous

Are you trying to rationalize it?

12. anonymous

i don't know. i think i just need to simplify it

13. anonymous

It is basically simplified already. Rationalize means that there can't be any roots in the denominator.

14. anonymous

15. anonymous

sqrt(5)/(18+sqrt(3)). Multiply both the top and bottom by 18-sqrt(3). On the top, you have sqrt(5)(18-sqrt(3)). On the bottom, you have 18^2-3. I hope you can simplify from here.

16. anonymous

what does the ^ sign mean?

17. anonymous

power or exponentiation.