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

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

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.