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## rannsan 3 years ago What is the simplified sum of √3+√12=

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1. Chlorophyll

Hint √12 = √ (4 * 3 ) = ....?

2. ilikephysics2

the sqrt(12) = 2 sqrt(3) so sqrt(3) + 2 sqrt(3) is your solution

3. qpHalcy0n

It can be simpler.

4. qpHalcy0n

sqrt(3) is IMPLIED 1*sqrt(3) . What is 1 + 2?

5. ilikephysics2

All i care about is her understanding the methods on how to get it, regardless of how to do it

6. qpHalcy0n

o_O Very good.

7. rannsan

now I am confused

8. ilikephysics2

just follow the method I provided

9. rannsan

ok

10. qpHalcy0n

You didn't provide any method, you provided a solution ..... :/ Here, you can rewrite sqrt(12) like @Chlorophyll said.

11. ilikephysics2

sqrt(12) = the terms sqrt(4) * sqrt(3) sqrt(4) = 2 which stays on the outside of the radical 2sqrt(3) + sqrt(3) which is the solution

12. qpHalcy0n

|dw:1349328337783:dw|

13. rannsan

2√3

14. ilikephysics2

either works 3sqrt(3) or sqrt(3) = 2sqrt(3)

15. SOMU.kvp

5.193

16. qpHalcy0n

Right, but one is simplified all of the way, and one is not. If you are providing answers to a computer (all too common), it will complain that it is not completely simplified. It's important to see how they add like that.

17. ilikephysics2

no answers to computers will accept both such as webassign or webwork

18. ilikephysics2

as long as the programs are accurate

19. qpHalcy0n

I've tutored for years, and I can assure that this is not the case whatsoever. You can continue being indignant though.

20. SOMU.kvp

rannsan r u clear?

21. ilikephysics2

k

22. rannsan

yes thank you a lot I have another one for yall....................sorry for the yall I am in the south.

23. SOMU.kvp

square root 3 value 1.732 so 1.732+2(1.732)=5.196

24. Chlorophyll

@rannsan We explain so that you can understand and work by YOURSELF :)

25. qpHalcy0n

Do not do this.

26. qpHalcy0n

That answer will be an approximation (with round off error). The exact answer is that as has been shown.

27. Chlorophyll

@SOMU.kvp You should learn from the others' solution!

28. SOMU.kvp

what mr.chlorophy?

29. Chlorophyll

Decimal number isn't allowed to solve these types!

30. SOMU.kvp

y?

31. qpHalcy0n

They are approximations. You can't always just plug and chug to get numbers out. For example. Pi = 3.14...this is an approximation and is far from exact. Pi, is exact. Similarly sqrt(3)... 1.73 is an approximation. sqrt(3) is exact. When you have problems that grow to a page or fill a chalk board, doing rounding like this will give you VERY wrong answers especially if you do it early in the problem. It's called error propagation. Google it.

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