## pokemon23 Group Title Can someone tutor me in multiplying and dividing radicals? Please no nonsense I want to learning 2 years ago 2 years ago

1. Mimi_x3 Group Title

2. pokemon23 Group Title

|dw:1326159651743:dw|

3. Mimi_x3 Group Title

Just multiply. $5*7\sqrt{8*3}$

4. UnkleRhaukus Group Title

${1 \over√a} = {1 \over√a} \times {√a \over √a}={√a \over a}$

5. pokemon23 Group Title

so?

6. Mimi_x3 Group Title

can't you times it.

7. Mimi_x3 Group Title

Yes!

8. pokemon23 Group Title

|dw:1326159934510:dw|

9. Mimi_x3 Group Title

Correct!

10. Mimi_x3 Group Title

Want to simplify it further?

11. pokemon23 Group Title

12. pokemon23 Group Title

how do you simplify it further?

13. BlingBlong Group Title

what times what gives 24, 6*4 so 35(6)^(1/2)*(4)^(1/2) or $35\sqrt{4}\sqrt{6}$

14. pokemon23 Group Title

can we simplify it further

15. BlingBlong Group Title

now you can take the square root of 4 which is 2 therefore you are left with 35(2)(6)^(1/2)

16. BlingBlong Group Title

which is just equal to $70\sqrt{6}$

17. pokemon23 Group Title

so its |dw:1326160227547:dw|

18. pokemon23 Group Title

how can we simplify it their?

19. BlingBlong Group Title

you can't

20. BlingBlong Group Title

if you take the square root of 2 you end up with an irrational number which can only be approximated

21. Mimi_x3 Group Title

Pokemon, you can just use a calculator to check, if you type that in the calculator, it won't equal the same to $5\sqrt{8}*7\sqrt{3}$

22. pokemon23 Group Title

|dw:1326160630061:dw| to the solution

23. Mimi_x3 Group Title

$35*2\sqrt{6}$

24. Mimi_x3 Group Title

since $\sqrt{4} = 2$

25. pokemon23 Group Title

how? how did you get the solution

26. Mimi_x3 Group Title

Hmm...where don't you understand? It has been explained thoroughly.

27. BlingBlong Group Title

2*2 is = 4, when you take the square of a number it will tell you what two exact numbers can be multiplied together to give you the original number

28. BlingBlong Group Title

Radicals are simply the opposite of exponents. If you had just say 3^(3) = (3)(3)(3) = 27 27^(1/3) =3

29. BlingBlong Group Title

Thus (4)^(1/2) = 2 because 2*2 = 4

30. BlingBlong Group Title

You need to memorize the fundamental rule in radicals that (ab)^(1/2) = $\sqrt{a}\sqrt{b}$

31. BlingBlong Group Title

if you wish to simplify radicals further, usually I'm to lazy to do this though :d

32. Mimi_x3 Group Title

You can simplify it further but you don't need to, it depends on the question.

33. BlingBlong Group Title

In your case 35(24)^(1/2) = $35\sqrt{6}\sqrt{4}$

34. pokemon23 Group Title

thanks for the help

35. BlingBlong Group Title

since 35 is being multiplied by the radical when (4)^(1/2) is simplified to 2 you are left with 35(2)(6)^(1/2) if you take the square root of 6 you are going to end up with a very ugly number and in mathematics they usually like you to deal with exact numbers

36. pokemon23 Group Title

you can reduce to 35|dw:1326161502375:dw|

37. BlingBlong Group Title

No problem I hope you have gained a better understanding of radicals, I would recommend look up the fundamental rules of radicals

38. BlingBlong Group Title

Once you know all the basic algebraic laws, math becomes a lot easier

39. BlingBlong Group Title

the final answer being 70(6)^(1/2) but I will stop posting now :D