## anonymous 3 years ago help :) multiply expression

1. anonymous

$2\sqrt{6}\times \sqrt{10}$

2. anonymous

Multiply them seperately... $2\sqrt6 \times \sqrt{10} \implies 2\sqrt{6 \times 10} \implies 2 \sqrt{2 \times 3 \times 2 \times 5} \implies~?$

3. anonymous

Can you finish from there? Can you simplify the radical?

4. anonymous

|dw:1344751807375:dw| here is an example. :)

5. anonymous

@merp it is better if you do it here by your own..

6. anonymous

@LaurenAshley1201 $\implies 2 \sqrt{\color{blue}{\underline{2 \times 2}} \times 3 \times 5} = ??$

7. anonymous

2 sqrt 60? i dont think im doing it right

8. anonymous

You can solve further for $$\sqrt{60}$$..

9. anonymous

2 sqrt 15

10. anonymous

$\sqrt{60} = \sqrt{\color{blue}{\underline{2 \times 2}} \times 3 \times 5}$ Can you go further..??

11. anonymous

think of a perfect square number that can go into 60.

12. anonymous

Yes..

13. anonymous

There is one 2 outside too..

14. anonymous

We have broken 60 down into prime factors for you. Remember this? $\sqrt{x \times x} = x$Use the same rule...

15. anonymous

$2 \times 2 \sqrt{15} = ??$

16. anonymous

do you mean sqrt (4 * 15) ?

17. anonymous

No..

18. anonymous

i dont know how to go any furhter

19. anonymous

$$\sqrt{60}$$ is how much ??

20. anonymous

you have solved it above..

21. anonymous

$\sqrt{60} = \sqrt{\color{blue}{\underline{2 \times 2}} \times 3 \times 5} = ??$

22. anonymous

its like sqrt( 5 x 5) = sqrt (25) = 5.

23. anonymous

Where are you having problem @LaurenAshley1201

24. anonymous

let me give you an example: $\sqrt{45}=\sqrt{3*3*5}=\sqrt{9} * \sqrt{5} = 3\sqrt{5}$

25. anonymous

sqrt of 60 is 2 sqrt 15

26. anonymous

you got it right now! :)

27. anonymous

In square root you can pull out one from a pair like this: $\sqrt{4 \times 4 \times 5}$ Here you can see there are two 4's. SO you can take one 4 outside and there will remain no 4 in the square root brackets: So it becomes; $\sqrt{\color{green}{\underline{ 4 \times 4} \times 5}} \implies 4 \sqrt{5}$

28. anonymous

Ok. Do you understand this at the very least? $\sqrt{3 \times 3} = \sqrt{3^2} = \sqrt{9} = 3\color{red}{\huge??????}$

29. anonymous

yes i do

30. anonymous

THat's basically what you're doing here, it's just that you can make sense of it without showing all of the steps because you know the end result which is why we know that$\sqrt{60} = \sqrt{2 \times 2 \times 3 \times 5} = 2\sqrt{15}$

31. anonymous

$2 \sqrt{60} = 2 \times (2 \sqrt{15}) = ??$

32. anonymous

@Calcmathlete would that be my final answer?

33. anonymous

Not quite...you forgot the 2 that was already out there... $2 \times 2\sqrt{15} = ?$

34. anonymous

not yet, example: $3*(4\sqrt{5}) = 3*4\sqrt{5} = 12\sqrt{5}$

35. anonymous

i figuired it out,with everyones help ! thanks everyone

36. anonymous