Question

2.Select all the expressions that will result in a rational number.

Answer 1

Answer:

• D and E

Step-by-step explanation:

A. 5/6 + √12/3 = 5/6 +2√3/3 = 1/6( 5 + 4√3)

• → Irrational

B. 5/6 × √12/3 = 5/6 × 2√3/3 = 5√3/9

• → Irrational

C. 5/6 × √12 = 5/6 × 2√3 = 5√3/3

• → Irrational

D. 5/6 - √36/3 = 5/6 - 6/3 = 5/6 - 12/6 = -7/6

• → Rational

E. 5/6 + √36/3 = 5/6 + 6/3 = 5/6 + 2 = 2 5/6

• → Rational