## Kris5 2 years ago help me please :) 1. Which expression is equivalent to radical 5+ radical 3 / radical 5 - radical 3? 2. The fraction 1-1/a divided by 1-1/a^2 is equiv. to... 3. Solve for x: 3/x-2+8/x^2-4=1

1. tkhunny

Please use parentheses to write what you intend. In your #1, you have written $$\sqrt{5} + \dfrac{\sqrt{3}}{\sqrt{5}} - \sqrt{3}$$. I'm guessing this is not what you intended. In what I suspect you intended, multiply numerator and denominator separetely by $$\sqrt{5}+\sqrt{3}$$ and see what magic happens, especially in the denominator.

2. Kris5

|dw:1356738160323:dw|

3. tkhunny

Indeed. Did you do what I said? That will solve it.

4. Kris5

ok I'll try

5. tkhunny

Good call. Show us what you get.

6. Kris5

|dw:1356738348623:dw|

7. Kris5

8. tkhunny

SO CLOSE!!!! That's $$8+2\sqrt{15}$$ and then you have a common factor in numerator and denominator that can help to simplify a little more. Excellent work. You're getting it.

9. Kris5

10. Kris5

|dw:1356738746427:dw|

11. Kris5

thanks:)

12. Kris5

13. tkhunny

Spot on!

14. Kris5

$4+\sqrt{15}$

15. Kris5

thank you :)