Question

Select three numbers that will produce an irrational number when added to 1 5/6.

A. 11/12

B. -\pi /4

C. -3 1/6

D. 1/2 + ✓3

E. ✓5/6 + 2

Answer 1

1 5/6 = 11/6 is rational. Rational + rational = rational, rational + irrational = irrational. So we must choose the irrational addends.

A: 11/12 — rational.
B: -π/4 — irrational (π is irrational).
C: -3 1/6 = -19/6 — rational.
D: 1/2 + √3 — irrational (√3 is irrational).
E: 2 + √(5/6) — irrational (√(5/6) is not a rational square).

Therefore pick B, D, and E.