## Zink96 2 years ago Find the value of 2 times the square root of 3, all over the sqaure root of 10 in simplest form.

1. philo1234

$\frac{ 2\sqrt{3} }{ \sqrt{10} }$ is this the question?

2. Zink96

Yes

3. philo1234

Rationalize the denominator, by multiplying the numerator and denominator by the radical in the denominator: $\frac{ 2\sqrt{3} *\sqrt{10}}{ \sqrt{10}*\sqrt{10} }$

4. philo1234

This simplifies to: $\frac{ 2\sqrt{30} }{ \sqrt{100} }$

5. philo1234

What is the square root of 100?

6. Zink96

50? Im not quite sure...

7. philo1234

What number can you square to give you 100? or what number can u multiply by itself to give you 100

8. Zink96

10

9. philo1234

good so now we have:$\frac{ 2\sqrt{30} }{ 10 }$ Can you simplify this and tell me what you got?

10. Zink96

2 sqrt 3 over 5?

11. philo1234

Nope you can only divide a radical by a radical. Therefore it is incorrect to divide 30 by 10. But you can simplify the numbers that are not radicals, by dividing 2 by 2 in the numerator and 10 by 2 in the denominator: You should get as your answer - $\frac{ \sqrt{30} }{ 5 }$

12. philo1234

Do you understand how I got this?

13. Zink96

Oh Okay... yeah i got it now, thanks!