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## rannsan Group Title What is the simplified product of (√3)(√6)= 2 years ago 2 years ago

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1. qpHalcy0n

$\sqrt{a}\sqrt{b} = \sqrt{ab}$

2. rannsan

9√2 √18 3√2 3

3. qpHalcy0n

$3\sqrt{2}$ You got it.

4. rannsan

I do not know which answer it is

5. qpHalcy0n

Oh, well look here. You see my first post?

6. rannsan

3√2

7. qpHalcy0n

Here: $\sqrt{3}\sqrt{6} = \sqrt{3 * 6}$

8. qpHalcy0n

Now what do you have?

9. rannsan

3

10. rannsan

√3+ √12

11. rannsan

that is my simplified answer

12. SOMU.kvp

4.24175

13. qpHalcy0n

No, please stop doing this. That is not what we are looking for.

14. qpHalcy0n

Follow me step by step. What is: $\sqrt{6 \times 3}$

15. rannsan

This is my last assignment for this term.................I do appreciate the help honestly I do.

16. SOMU.kvp

what mr.qpha?

17. qpHalcy0n

$\sqrt{6 \times 3} = \sqrt{18} = \sqrt{ 3 * 3 * 2} = 3 \sqrt{2}$

18. rannsan

2.44 =√6

19. rannsan

$\sqrt{18}$

20. rannsan

I feel so stupid

21. qpHalcy0n

Don't ever feel stupid. It just takes seeing it over and over to realize what's happening. It's building blocks. I was in the same place, I promise you that ;)

22. rannsan

well I am almost 50yrs old and never learned algebra in high school

23. rannsan

so did I get it right?

24. rannsan

I have a 4.0gpa but now this term because of Algebra

25. qpHalcy0n

Yes, but sqrt(18) simplifies though. What I do is called a "prime factorization".

26. rannsan

not this term that is

27. rannsan

I cannot thank you enough!

28. rannsan

I have more.................problems to solve

29. qpHalcy0n

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30. qpHalcy0n

Since you're multiplying 3 by itself under a SQUARE root....then the 3 can just come out. Leaving the 2 by itself. So you have: $3\sqrt{2}$

31. rannsan

I got it!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! my light bulb just clicked on...

32. rannsan

ok I am gonna close this one out so I can post another.