## anonymous one year ago Simplify.

1. anonymous

|dw:1436571087714:dw|

2. geerky42

HINT: $$\sqrt{75} = \sqrt{3\cdot25}$$

3. anonymous

i dont no what to do with the square root thing

4. anonymous

Any more ideas?

5. anonymous

|dw:1436571478881:dw|

6. anonymous

^ That was what geeky was trying to say

7. anonymous

|dw:1436571469286:dw|

8. anonymous

tha answer i got wasnt one of those

9. anonymous

The answer is indeed in one of them. Please work with me not just for the sake of the answer.

10. anonymous

What is √25 ?

11. anonymous

what the line thing mean tho

12. anonymous

√ = Square root...

13. anonymous

Do you know what a square root is?

14. anonymous

i no what it is i dont no what to do with it

15. anonymous

That means you don't know what it is. If you knew what it is, you'd know what to do w/ it.

16. anonymous

The square root means what number *squared* will equal the number in the "√"

17. anonymous

what i menat was i no what the line means

18. anonymous

|dw:1436571742740:dw|

19. anonymous

okay but how do you get a answer out of that?

20. anonymous

like how do you simplify it

21. anonymous

22. anonymous

23. anonymous

I am explaining ?

24. anonymous

yea and now i no what a sguare root is but how do you simplify one

25. anonymous

You need to split the imperfect square into two squares so one of them is simplify able.

26. anonymous

Look at my above drawings.

27. anonymous

@geerky42 Am I explaining okay?

28. geerky42

Yeah, I would said the same thing.

29. anonymous

spliting it is 37.5

30. anonymous

I mean into two different square roots.. not dividing it by 2.

31. anonymous

Like a factor tree.

32. geerky42

No, by splitting square root, we mean $$\large \sqrt{ab} \quad\Rightarrow\quad\sqrt a\sqrt b$$

33. geerky42

Here, we have case of $$a=3$$ and $$b=25$$

34. anonymous

so $\sqrt{7} \sqrt{5}$

35. geerky42

$$\large \sqrt{75}=\sqrt{3\cdot25}=\sqrt3\sqrt{25}$$

36. geerky42

a and b are variables, not digits.

37. anonymous

oh okay

38. geerky42

Now we cannot simplify $$\sqrt3$$, but we can with $$\sqrt{25}$$. What is $$\sqrt{25}$$?

39. anonymous

it would be $\sqrt{5 * 5}$

40. geerky42

Taking square root is opposite of squaring. What number multiplied by itself would get you 25?

41. geerky42

Yeah, but you don't have to split any more.

42. geerky42

$$25 = 5^2$$ So $$\sqrt{25}=~?$$

43. anonymous

5?

44. geerky42

Correct. So you have $$\large \sqrt{25}\sqrt3 ~~=~~ \boxed{5\sqrt3}$$ It makes sense, right?

45. anonymous

oh because the 3 is from the first one yea i get that

46. anonymous

thank you for the help

47. anonymous

^^^ Great job @geerky42 :)

48. geerky42

Thanks :)