Show answer & explanation
Correct answer: A
Explanation
Has been given :
((3.57)² + (4.54)² + 32.4156) / ((4.54)² − (3.57)²
According to the formula:
a² + b² + 2ab = (a + b)²
b² − a² = (b − a)(b + a)
a = 3.57
b = 4.54
32.4156 = 2 × 3.57 × 4.54
Hence numerator = a² + b² + 2ab
= (a + b)²= (3.57 + 4.54)²= (8.11)²
Denominator= b² − a²
= (b − a)(b + a)= (4.54 − 3.57)(4.54 + 3.57)= 0.97 × 8.11
(8.11)² / (0.97 × 8.11)
= 8.11 / 0.97
= 8.36