Find the approximate value of
(2.697 + 0.498)² - (2.697 - 0.498)²

Correct option is A

Given:

​$$(2.697 + 0.498)^2 - (2.697 - 0.498)^2$$​​

Formula Used:
​$$a^2 - b^2 = (a + b)(a - b)$$​​
Solution:

Let, a = 2.697 + 0.498

b= 2.697 - 0.498.

Now apply the formula:
​$$(2.697 + 0.498)^2 - (2.697 - 0.498)^2 = \left( (2.697 + 0.498) + (2.697 - 0.498) \right) \times \left( (2.697 + 0.498) - (2.697 - 0.498) \right)$$​​
Simplify the terms inside the parentheses:
(2.697 + 0.498) + (2.697 - 0.498) = 2.697 + 2.697 = 5.394

(2.697 + 0.498) - (2.697 - 0.498) = 0.498 + 0.498 = 0.996
Now multiply the two terms:
5.394$$\times$$​0.996 = 5.372616
Thus, the value of the expression is: 5.372616