Answer:
[tex]\frac{9+\sqrt{14} }{9+\sqrt{14}}[/tex]
Step-by-step explanation:
The given expression is [tex]\frac{5-\sqrt{7} }{9-\sqrt{14} }[/tex].
To rationalize this expression, we need to multiply the numerator and the denominator by the conjugate of [tex]9-\sqrt{14}[/tex] which is [tex]9-\sqrt{14}[/tex],
Therefore we need to multiply by;
[tex]\frac{9+\sqrt{14} }{9+\sqrt{14}}[/tex]
The third option is correct
