## ahoymewmew can someone help me with radicals? please :( one year ago one year ago

1. Calle87

hey

2. ahoymewmew

hello @Calle87

3. Calle87

question?

4. ahoymewmew

its this. @Calle87

5. christiano123

okay whats the question

6. ahoymewmew

its in the attachment. @christiano123

7. Calle87

ok, so i have row d done

8. Calle87

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

9. ahoymewmew

okay c: @Calle87 thanks.

10. Calle87

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

11. Calle87

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

12. ahoymewmew

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. Calle87

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

14. Calle87

ya see what i did?

15. Calle87

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

16. Calle87

whats the square root of 9?

17. ahoymewmew

3 @Calle87

18. ahoymewmew

so 2 cant be simplified but 9 can oh i see

19. Calle87

ya they dont want decimals

20. Calle87

you want the largest possible square root with the smallest

21. Calle87

ie 9 and 2 for 18

22. ahoymewmew

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

23. Calle87

ok so the last one,

24. ahoymewmew

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

25. Calle87

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

26. Calle87

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

27. Calle87

see what i did?

28. ahoymewmew

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. Calle87

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

30. Calle87

what is the square root of y^2?

31. ahoymewmew

is it y?

32. Calle87

yes!! :)

33. Calle87

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

34. Calle87

$3y \sqrt{2y}$

35. Calle87

first expression is simplified

36. Calle87

can you do the 2nd?

37. ahoymewmew

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

38. Calle87

of the last row

39. ahoymewmew

the last one? @Calle87

40. Calle87

it is c

41. Calle87

the second one is C

42. Calle87

the last row is E

43. Calle87

fourth row is D

44. ahoymewmew

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

45. Calle87

46. ahoymewmew

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. Calle87

so you are having problems with the second row?

48. ahoymewmew

no i got an a c: thanks :D

49. Calle87

ok, so no more?

50. ahoymewmew

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

51. Calle87

cool! great job @ahoymewmew