Simplify (correct to 2 decimal places)
$\frac{(3.2)^2+(2.8)^2}{(3.2)\times (2.8)}$
Answer & explanation
Correct answer: option 3
Formula used :-
a² + b² = ( a + b )² - 2ab
⇒ $\frac{(3.2)^2+(2.8)^2}{(3.2)\times (2.8)}$
⇒ \(\frac{ ( 3.2 + 2.8 )² - 2 ×3.2×2.8 }{3.2 ×2.8}\)
⇒ \(\frac{ 36 - 17.92 }{3.2 ×2.8}\)
⇒ \(\frac{ 18.08 }{8.96}\)
= 2.01785
∼ 2.02
The correct answer is option (3) : 2.02