## anonymous 4 years ago How do you rationalize √(1/12) ? the answer should be (√3)/6

1. anonymous

Rationalize the denominator you mean?

2. anonymous

yes

3. anonymous

You would want the denominator to be the square root of a perfect square.

4. anonymous

Thus you need to multiply the numerator and denominator by a value to do this

5. anonymous

|dw:1327683116150:dw|

6. anonymous

You could also have multiplied by the sqrt(3)/sqrt(3), which would've elimated the factoring

7. anonymous

yes, many different ways to solve ...

8. anonymous

Anyways..understand alex?

9. anonymous

so $\sqrt{3/64} = \sqrt{3}/8$ ?

10. anonymous

Not quite, I'll explain it a bit better

11. anonymous

To rationalize the denominator, you need to remove the roots by making the number inside the roots equal a whole number.

12. anonymous

So if you multiply both the numerator and denominator by sqrt(3), the denominator would be the sqrt(36), which is factorable to a whole number (6)

13. anonymous

Then carry out the multiplication of sqrt(3) in the numerator

14. anonymous

im confused, where did you get 36 from? i have square root of 3 over square root of 64

15. anonymous

ok

16. anonymous

sqrt(3)*sqrt(12)=?

17. anonymous

This is the denominator

18. anonymous

I get it now thank you

19. anonymous

NP