Answer:
The correct option is D.
Step-by-step explanation:
The given expression is
[tex](4-\sqrt{7})(4+\sqrt{7})[/tex]
Difference of two squares property:
[tex]a^2-b^2=(a+b)(a-b)[/tex]
Using the above property, the given expression can be written as
[tex](4)^2-(\sqrt{7})^2[/tex]
Applying square we get
[tex]16-7[/tex]
[tex]9[/tex]
Therefore the correct option is D.