Given the two expressions shown below:
square root of 64 plus square root of 5
square root of 64 plus square root of 4
Which statement best describes the two expressions?
Both are rational.
Both are irrational.
A is rational, but B is irrational.
A is irrational, but B is rational.
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OpenStudy (anonymous):
@nikato
OpenStudy (anonymous):
@camerondoherty
OpenStudy (camerondoherty):
So lets find the Square root of 64 first
OpenStudy (camerondoherty):
what times what = 64?
OpenStudy (anonymous):
8
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OpenStudy (camerondoherty):
yes so to simplify the question you get
A\[8 + \sqrt{5}\]B\[8 + \sqrt{4}\]
OpenStudy (camerondoherty):
now what times what gives you 4?
OpenStudy (anonymous):
2
OpenStudy (camerondoherty):
Ok so B is:
8+2 what does that equal?
OpenStudy (anonymous):
10
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OpenStudy (camerondoherty):
Ok so now we know that B is rational.
OpenStudy (camerondoherty):
Can you multiply 2 of the same numbers to get 5?
OpenStudy (anonymous):
Yes?
OpenStudy (camerondoherty):
Well... not exactly...
OpenStudy (camerondoherty):
\[\sqrt{5}\] stays like that which is irrational
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OpenStudy (camerondoherty):
so A is irrational and B is rational
OpenStudy (camerondoherty):
Any Questions?
OpenStudy (anonymous):
This makes perfect sense! Should I tag you or just put my next question here?
OpenStudy (camerondoherty):
Well... Ask a new Question lol
OpenStudy (anonymous):
What is the value of x in the solution to the following system of equations?
x − 2y = 2
3x + y = 6
Numerical Answers Expected!
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OpenStudy (camerondoherty):
Are you there?
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
I posted the question above... ^^
OpenStudy (anonymous):
THats fine
OpenStudy (camerondoherty):
the answer is 2
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OpenStudy (anonymous):
The following function represents the value of a house after x years:
f(x) = 242,000(0.96)x
What does 0.96 represent?
The present value of the house
The value of the house after x years
The increase in the value of the house per year, which is 4%
The decrease in the value of the house per year, which is 4%
OpenStudy (anonymous):
Cam, I closed the question. dont explain, just answer :)