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

1. anonymous

what r ur options

2. chrisGA

2 to the power of 1 over 6 2 to the power of 2 over 3 2 to the power of 5 over 6 2 to the power of 7 over 6

3. anonymous

@DarkMoonZ

4. anonymous

Yes?

5. anonymous

help him

6. anonymous

Sorry but I am a "Time Traveling Donkey" I am bad at math :/ I am great at history tho :D

7. TheSmartOne

Is your question: $$\sf\Large \sqrt[2]{\sqrt[3]{2}}$$

8. anonymous

the best person to help

9. anonymous

i thought to be adding the powers @TheSmartOne but then it doesnot match his options

10. TheSmartOne

I saw someone answer a similar question yesterday :)

11. chrisGA

|dw:1435506182407:dw|

12. anonymous

ohh

13. TheSmartOne

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14. chrisGA

ok

15. TheSmartOne

ok, do you know this property: $$\sf\Large \sqrt[x]{y}= y^{\frac{1}{x}}$$

16. chrisGA

no

17. TheSmartOne

well, we will need to use that for this question.

18. LynFran

ok your question can be written as$2^{\frac{ 1 }{ 2 }}*2^{\frac{ 1 }{ 3 }}$

19. LynFran

now when your multiplying sumthing with the same component we add the base...can u do that?

20. TheSmartOne

you also need to use the property: $$\sf\Large a^b \times a^c = a^{b+c}$$ Do you know this property?