shaniehh
  • shaniehh
Assume a and b are nonzero rational numbers and c and d are irrational numbers. For each of the following expressions, determine whether the result is irrational, rational, or both. Justify your answers.
Algebra
chestercat
  • chestercat
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shaniehh
  • shaniehh
Part A: ac + d Part B:|dw:1441585678410:dw| Part C: b^2(c + d)
SolomonZelman
  • SolomonZelman
\(4b\sqrt{3+c}\) ?
shaniehh
  • shaniehh
is that a question

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SolomonZelman
  • SolomonZelman
I am asking you, whether I am interpreting your question corectly.
shaniehh
  • shaniehh
i dont really know it says to find out if they are rational
SolomonZelman
  • SolomonZelman
Well, \(\sqrt{3+c}\) would NOT be rational if c is irrational.
SolomonZelman
  • SolomonZelman
and you know that: `(non-zero rational) × (irrational)=irrational`
SolomonZelman
  • SolomonZelman
if c<-3 then you get an imaginary output (with an irrational real part)

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