Solve the given equation.

​$$\sqrt{(544)^2 - (256)^2} = ?$$​​

Correct option is A

Given:

​$$\sqrt{(544)^2 - (256)^2}$$ = ?

Concept Used:

The difference of squares identity 

​$$a ^2 −b ^2 =(a−b)(a+b)$$​​

Solution:

Using the difference of squares identity

​$$\sqrt{(544)^2 - (256)^2} \\ \ \\ = \sqrt{(544 - 256)(544 + 256)}$$ 

$$= \sqrt{288 \times 800}$$ 

$$= \sqrt{230400}$$ 

$$= 480$$ 

Thus, the solution to the expression is 480.