## shaniehh one year ago 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.

1. shaniehh

Part A: ac + d Part B:|dw:1441585678410:dw| Part C: b^2(c + d)

2. SolomonZelman

$$4b\sqrt{3+c}$$ ?

3. shaniehh

is that a question

4. SolomonZelman

5. shaniehh

i dont really know it says to find out if they are rational

6. SolomonZelman

Well, $$\sqrt{3+c}$$ would NOT be rational if c is irrational.

7. SolomonZelman

and you know that: (non-zero rational) × (irrational)=irrational

8. SolomonZelman

if c<-3 then you get an imaginary output (with an irrational real part)