## anonymous 4 years ago can someone help me with radicals? please :(

1. anonymous

hey

2. anonymous

hello @Calle87

3. anonymous

question?

4. anonymous

its this. @Calle87

5. anonymous

okay whats the question

6. anonymous

its in the attachment. @christiano123

7. anonymous

ok, so i have row d done

8. anonymous

$\sqrt{18}+2\sqrt{75}-\sqrt{48}$

9. anonymous

okay c: @Calle87 thanks.

10. anonymous

so with radicals you can simplify each one by splitting them into smaller radicals

11. anonymous

$\sqrt{18}=\sqrt{9}\sqrt{2}=3\sqrt{2}$

12. anonymous

like the square root of 18, is a decimal so you break it down and use a number that equals to 18 like 9x2 and since its still big you can simplify 9x3? @Calle87

13. anonymous

$2\sqrt{75}=2(\sqrt{25})(\sqrt{3})=2(5)\sqrt{3}=10\sqrt{3}$

14. anonymous

ya see what i did?

15. anonymous

$\sqrt{9}\sqrt{2}$

16. anonymous

whats the square root of 9?

17. anonymous

3 @Calle87

18. anonymous

so 2 cant be simplified but 9 can oh i see

19. anonymous

ya they dont want decimals

20. anonymous

you want the largest possible square root with the smallest

21. anonymous

ie 9 and 2 for 18

22. anonymous

aha i just dont understand the last one were it has y @Calle87

23. anonymous

ok so the last one,

24. anonymous

yea @Calle87 the y's confuse me with the exponents.

25. anonymous

$3(\sqrt{2y})(\sqrt{y^2})$

26. anonymous

$\sqrt{2y^3}=\sqrt{2y}\sqrt{y^2}$

27. anonymous

see what i did?

28. anonymous

and what if there is a number on the outside of the sqrt and one on the inside? do you just bring the outside one down and fin the sqrt of the inside? @Calle87

29. anonymous

$3(\sqrt{2y})(\sqrt{y^2})$

30. anonymous

what is the square root of y^2?

31. anonymous

is it y?

32. anonymous

yes!! :)

33. anonymous

$3(\sqrt{2y})(y)$

34. anonymous

$3y \sqrt{2y}$

35. anonymous

first expression is simplified

36. anonymous

can you do the 2nd?

37. anonymous

oh i get it is the second one A? i think it is c: @Calle87

38. anonymous

of the last row

39. anonymous

the last one? @Calle87

40. anonymous

it is c

41. anonymous

the second one is C

42. anonymous

the last row is E

43. anonymous

fourth row is D

44. anonymous

oh i thought it was a because of the 3 and the 4 sqrt

45. anonymous

46. anonymous

because i saw the second one say 3y sqrt 4y and i thought it was the first one because it said 3 sqrt 2 because 4's sqrt is 2.

47. anonymous

so you are having problems with the second row?

48. anonymous

no i got an a c: thanks :D

49. anonymous

ok, so no more?

50. anonymous

yea no more thanks :D i understand them now c:

51. anonymous

cool! great job @ahoymewmew