Respuesta :

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.