## anonymous 4 years ago 5√3+√6/√6+√3? would the numerators cancel out leaving only the five? or is there more to this?

1. saifoo.khan

$\Large \frac{5 \sqrt 3 + \sqrt6}{\sqrt6+\sqrt3} \to -3 +4\sqrt2$

2. anonymous

hmm... could you explain in in further detail?

3. saifoo.khan

Can u solve now?

4. anonymous

ill try

5. saifoo.khan

wait i did a mistake,

6. anonymous

D:

7. saifoo.khan

$\Large \frac{5 \sqrt 3 + \sqrt6}{\sqrt6+\sqrt3} \times \frac{\sqrt6-\sqrt3}{\sqrt6-\sqrt3}$Now it's Accurate.

8. anonymous

i dont know where you got the second half of the problem... its only the first set of numbers

9. saifoo.khan

It's a method to solve these type of questions.

10. anonymous

oh neat

11. saifoo.khan

You have multiply and divide with the denominator but with different sign.

12. anonymous

im trying to get it worked out

13. anonymous

how do you multiply a √3 X -√3? thats what i dont understand

14. saifoo.khan

$\sqrt 3 \times - \sqrt3 = -3$

15. saifoo.khan

The roots cancels out.

16. anonymous

ahhh. brilliant!

17. saifoo.khan

Thank you. heading to bed. C ya! :)

18. anonymous

thanks

19. saifoo.khan