SOLUTION: 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

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 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      Log On


   

Question 1081566: 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.
Part A: ac + d
Part B: four b square root of three end square root plus c
Part C: b2(c + d)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
ac%2Bd is irrational.
2%2Asqrt%282%29%2Bsqrt%287%29
.
.
4b%2Asqrt%283%29%2Bc is irrational.
4%282%29%2Asqrt%283%29%2Bsqrt%282%29=8sqrt%283%29%2Bsqrt%282%29
.
.
b%5E2%28c%2Bd%29 is irrational.
2%5E2%28sqrt%282%29%2Bsqrt%287%29%29=4%28sqrt%282%29%2Bsqrt%287%29%29