The third proportional to a3 + b3 and a2 + ab + b2, when a = 2 and b = 3 is: (correct to 2 decimal places)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 10.31.
Concept used:
The third proportion of a and b, x = b2/a
Calculations:
⇒ Value of a3 + b3 = 23 + 33 = 8 + 27 = 35
⇒ Value of a2 + ab + b2 = 22 + 2 × 3 + 32 = 4 + 6 + 9 = 19
Hence, the required value = 192/35 = 10.31