Answer:
[tex]\sqrt{5}[/tex] + 8
Step-by-step explanation:
To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.
The conjugate of [tex]\sqrt{5}[/tex] - 8 is [tex]\sqrt{5}[/tex] + 8 , then
[tex]\frac{\sqrt{2}(\sqrt{5}+8) }{(\sqrt{5}-8)(\sqrt{5}+8) }[/tex]
