## smagyar 2 years ago 1/2 / (Square root of 3)/2

1. geoffb

Like this? $\Large \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}$

2. smagyar

Yeah!

3. geoffb

Okay... $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

4. smagyar

I keep getting the answer 1/squr root 3

5. smagyar

and its supposed to be 3/ sqr root 3

6. geoffb

So you can re-write it as: $\frac{1}{2} \div \frac{\sqrt{3}}{2}$ which equals $\frac{1}{2} \times \frac{2}{\sqrt{3}}$

7. zordoloom

1/sqrt 3 would be correct, except you have to get rid of the squareroot in the denominator.

8. smagyar

|dw:1354415263802:dw|

9. smagyar

Why cant it be in the denominator?

10. geoffb

The answer is not $$\Large \frac{3}{\sqrt{3}}$$.

11. smagyar

Oops squr root 3/3 right?

12. geoffb

There's nothing wrong with leaving it as $$\Large \frac{1}{\sqrt{3}}$$, although if you understand negative exponents, there's a neater way you could write it.

13. smagyar

Is it $\frac{ \sqrt{3} }{ 3 }$?

14. geoffb

15. smagyar

How though

16. geoffb

It's not. You're right with 1/sqrt 3.

17. geoffb

You're the one that said it's "supposed to be."

18. winterfez

|dw:1354415644279:dw|

19. smagyar

how is square root of 3 the square root of 3 =3? i thought it is 1

20. geoffb

$\sqrt{3} \times \sqrt{3} = 3$ I think he was trying to show how you could get the answer $$\Large \frac{\sqrt{3}}{3}$$.

21. winterfez

|dw:1354415812944:dw|

22. geoffb

He's showing how to get rid of the radical. $$\Large \frac{1}{\sqrt{3}}$$ is the same as $$\Large \frac{\sqrt{3}}{3}$$.

23. smagyar

ok thanks!

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