The value of is (8 + k), where k = ?
2020
The value of
is (8 + k), where k = ?
- A.
0.656
- B.
0.388
- C.
0.721
- D.
0.129
Attempted by 36 students.
Show answer & explanation
Correct answer: C
Let a = 5.169 and b = 4 × 0.888 = 3.552.
The numerator becomes a³ + b³ and the denominator is a² - ab + b².
Using the identity a³ + b³ = (a+b)(a² - ab + b²), the expression simplifies to a + b.
Substituting values: 5.169 + 3.552 = 8.721.
Since the value is 8 + k, we have 8.721 = 8 + k, so k = 0.721.