Answer:
[tex]\frac{10}{3}[/tex] - [tex]\frac{2\sqrt{7} }{3}[/tex]
Step-by-step explanation:
Rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator
the conjugate of [tex]\sqrt{7}[/tex] + 5 is [tex]\sqrt{7}[/tex] - 5, hence
12 / ([tex]\sqrt{7}[/tex] + 5) × ([tex]\sqrt{7}[/tex] - 5 ) / ([tex]\sqrt{7}[/tex] - 5)
= (12[tex]\sqrt{7}[/tex] - 60 ) / - 18
= [tex]\frac{10}{3}[/tex] - [tex]\frac{2\sqrt{7} }{3}[/tex]
