## hannah2013 3 years ago Simplify the square root of 32/5

1. hannah2013

|dw:1349986848947:dw|

2. Venomblast

you can split the the square root of 32 into $\sqrt{16} and \sqrt{2}$. square root of 16 is 4. so you will have $4\sqrt{2}/\sqrt{5}. now we have a radical on the denominator. we dont want that. you will need to rationalize. 3. Venomblast |dw:1349987011151:dw| 4. Venomblast square root of 4 is 2. so you will have\[4*2\sqrt{5}/5$

5. hannah2013

|dw:1349987270081:dw| could help explain this one too?

6. Venomblast

im sorry the answer is $4\sqrt{10}/5$

7. Venomblast

you will need to rationalize. so you multiply the denominator and numerator by $3+\sqrt{2}$

8. Venomblast

|dw:1349987470404:dw|

9. Venomblast

|dw:1349987517152:dw|

10. Venomblast

simplify it. and you will get $3+\sqrt{2}$

11. hannah2013

$\sqrt{x-2}-4=0$

12. Venomblast

add 4 to both side.then square both side

13. Venomblast

u should get x-2=16. add 2 and x = 18

14. hannah2013

thanks soo much for your help!!