## thefluffmuncher one year ago Need help to simplfy a squareroot with a fraction in it

1. thefluffmuncher

$\sqrt{\frac{ 20 }{ 7 }}$

2. pooja195

Rationalize it

3. thefluffmuncher

|dw:1434134576438:dw| like this?

4. mathmate

That's a good start!

5. thefluffmuncher

i think what i have to do next is multiply the fraction by is denominator?

6. pooja195

yes

7. thefluffmuncher

which is $\sqrt{7}$

8. pooja195

correct keep going

9. thefluffmuncher

i know that the denominator will turn into 7 but the numerator

10. pooja195

$\huge~\frac{ \sqrt{20} \times \sqrt{7}}{ \sqrt{7}\times \sqrt{7} }$

11. pooja195

20 x 7 =?

12. thefluffmuncher

140

13. pooja195

14. thefluffmuncher

i'm guessing you want me to factor 140 in that case it 35*4

15. thefluffmuncher

since you can take the squareroot of 4 it's 2 so the answer is $2\sqrt{35}$

16. thefluffmuncher

over 7

17. thefluffmuncher

is that correct?

18. mathmate

Yes, but write $$\Large \frac{2\sqrt{35}}{7}$$

19. thefluffmuncher

yea thanks :)

20. mathmate

You're welcome! :)