## anonymous one year ago Can i have some help with this? √75 + √3

1. anonymous

does it help to know that $$75=25\times 3$$?

2. anonymous

use the website mathway!

3. anonymous

so $\sqrt{75}=\sqrt{25\times 3}=\sqrt{25}\times \sqrt3$

4. anonymous

you can enter in the equation and it gives you the answer

5. anonymous

you end up with $5\sqrt3+\sqrt3$ combine like terms to finish

6. anonymous

Thanks @ihenandezzi but i'm trying to learn how to do the problem, besides i have the link :)

7. anonymous

@satellite73 wouldn't the like term make 6 or do i just write it out and don't add them?

8. anonymous

Anyone?

9. SolomonZelman

ok, we got to the point of $$5\sqrt{3}+\sqrt{3}$$.

10. SolomonZelman

Do you know what is 5x+x ?

11. anonymous

7?

12. SolomonZelman

5x+x=5x+1x=6x ---------------

13. SolomonZelman

is that correct?

14. anonymous

Yeah

15. Blake4560

yes, 5x+x=6x

16. SolomonZelman

5x+x=6x and same way, it follows that 5√3 + √3 = ?

17. anonymous

5√6

18. SolomonZelman

no

19. SolomonZelman

you are not adding inside the square root

20. anonymous

So i don't add the 3's

21. SolomonZelman

you are adding the "square-root-of-3" five times, PLUS "square-root-of-3" one time.

22. Blake4560

isn't it $5\sqrt{3}$

23. SolomonZelman

$$5\sqrt{3}+\sqrt{3}=5\sqrt{3}+1\sqrt{3}=?$$

24. anonymous

I don't know. guessing 2?

25. SolomonZelman

5+1=?

26. anonymous

6

27. SolomonZelman

5a+1a=?

28. Blake4560

6a

29. SolomonZelman

5(something) + 1(something) = ?

30. anonymous

Depends on the something.

31. SolomonZelman

6(something)

32. SolomonZelman

5(something) + 1(something) = 6(something) (as long as we are talking about the same something)

33. SolomonZelman

5√3 + 1√3 = ?

34. anonymous

Think i said 6..

35. SolomonZelman

5√3 + 1√3 = 6 ?

36. anonymous

5√6

37. anonymous

1√3

38. SolomonZelman

5 + 1 = 6 5x + 1x = 6x 5 bees + 1 bee = 6 bees 5a + 1a = 6a 5√3 + 1√3 = 6√3 compare these

39. anonymous

6√6

40. SolomonZelman

why?

41. anonymous

3+3 5+1 6,6

42. SolomonZelman

you are adding the number of times of which you have a √3. you have five square roots of 3, and then you add one more square root of 3. how many square roots of 3 do you have together?

43. anonymous

6<---

44. SolomonZelman

yes, so 5√3 + 1√3 = ?

45. anonymous

46. anonymous

if so that would be 6√6

47. SolomonZelman

we don't add the square root inside, just 5√3+1√3=(5+1)√3 = 6√

48. SolomonZelman

6√3

49. anonymous

Okay.

Find more explanations on OpenStudy