Zink96 Group Title Find the value of 2 times the square root of 3, all over the sqaure root of 10 in simplest form. one year ago one year ago

1. philo1234 Group Title

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

2. Zink96 Group Title

Yes

3. philo1234 Group Title

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 Group Title

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

5. philo1234 Group Title

What is the square root of 100?

6. Zink96 Group Title

50? Im not quite sure...

7. philo1234 Group Title

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

8. Zink96 Group Title

10

9. philo1234 Group Title

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

10. Zink96 Group Title

2 sqrt 3 over 5?

11. philo1234 Group Title

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 Group Title

Do you understand how I got this?

13. Zink96 Group Title

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