rannsan
What is the simplified sum of √3+√12=
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Chlorophyll
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Hint √12 = √ (4 * 3 ) = ....?
ilikephysics2
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the sqrt(12) = 2 sqrt(3)
so sqrt(3) + 2 sqrt(3) is your solution
qpHalcy0n
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It can be simpler.
qpHalcy0n
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sqrt(3) is IMPLIED 1*sqrt(3) . What is 1 + 2?
ilikephysics2
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All i care about is her understanding the methods on how to get it, regardless of how to do it
qpHalcy0n
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o_O
Very good.
rannsan
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now I am confused
ilikephysics2
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just follow the method I provided
rannsan
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ok
qpHalcy0n
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You didn't provide any method, you provided a solution ..... :/
Here, you can rewrite sqrt(12) like @Chlorophyll said.
ilikephysics2
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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
qpHalcy0n
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|dw:1349328337783:dw|
rannsan
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2√3
ilikephysics2
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either works 3sqrt(3) or sqrt(3) = 2sqrt(3)
SOMU.kvp
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5.193
qpHalcy0n
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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.
ilikephysics2
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no answers to computers will accept both such as webassign or webwork
ilikephysics2
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as long as the programs are accurate
qpHalcy0n
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I've tutored for years, and I can assure that this is not the case whatsoever. You can continue being indignant though.
SOMU.kvp
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rannsan r u clear?
ilikephysics2
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k
rannsan
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yes thank you a lot
I have another one for yall....................sorry for the yall I am in the south.
SOMU.kvp
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square root 3 value 1.732 so 1.732+2(1.732)=5.196
Chlorophyll
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@rannsan We explain so that you can understand and work by YOURSELF :)
qpHalcy0n
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Do not do this.
qpHalcy0n
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That answer will be an approximation (with round off error). The exact answer is that as has been shown.
Chlorophyll
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@SOMU.kvp You should learn from the others' solution!
SOMU.kvp
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what mr.chlorophy?
Chlorophyll
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Decimal number isn't allowed to solve these types!
SOMU.kvp
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y?
qpHalcy0n
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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.