## anonymous one year ago Simplify square root of 2 multiplied by the cube root of 2.

1. anonymous

$\sqrt{2}*\sqrt[3]{2}$

2. anonymous

Is it like that?

3. anonymous

Change each radical to rational expression. $\sqrt{2}-->2^{\frac{ 1 }{ 2 }}$ $\sqrt[3]{2}-->2^\frac{ 1 }{ 3 }$ Then use LCD in both fractions.

4. anonymous

i have no idea how to do it. I think its 2 2/3

5. anonymous

and yes it looks like that

6. anonymous

What is the least common multiple of 2 and 3?

7. anonymous

2: 2, 4, 6, 8, 10 3: 3, 6, 9, 12, 15

8. anonymous

6?

9. anonymous

Yes! So, |dw:1438119775405:dw|

10. anonymous

What is $6\div2?$

11. anonymous

3

12. anonymous

Good! Than multiply 3 to the numerator.|dw:1438119897874:dw|

13. anonymous

Hello?

14. anonymous

What is 3 x 1?

15. anonymous

3

16. anonymous

sorry lost connection

17. anonymous

Now do it to the other one. |dw:1438120062129:dw|

18. anonymous

What is 6/3?

19. anonymous

2

20. anonymous

Then multiply it by the numerator of 1/3.

21. anonymous

22. anonymous

6? soo 2 1/6

23. anonymous

What is 2 times 1?

24. anonymous

2

25. anonymous

|dw:1438120283484:dw|

26. anonymous

|dw:1438120302016:dw|

27. anonymous

What is 3+2?

28. anonymous

2 5/6

29. anonymous

Yes. Do you want to turn it into radical?

30. anonymous

no thankyou it doesnt ask to do that.

31. anonymous

thankyou for helping me understand!

32. anonymous

Okay! You're welcome. :)