No Calculators Allowed! Can YOU Evaluate ((√2 + √6) / √8)⁹?

[@nandeeshnagarajaiah8662]

(√2+√6)/√8
= (1+√3)/2
{(1+√3)/2}^3
= (1+3√3+3√3+9)/8
= (10+6√3)/8
= (5+3√3)/4
{(1+√3)/2}^9
={(5+3√3)/4}^3
=(125+81√3+225√3+405)/64
=(530+306√3)/64
=(265+153√3)/32

[@NonsoMaths]

Thanks a lot.

[@nandeeshnagarajaiah8662]

You have got a knack for complicating simple problems!

[@NonsoMaths]

Thanks for your feedback.

[@awangkumohamaddanishbinawangja]

uhhhhhh.............. NO. He instead use the simpler method than i imagined.

[@chuksvoice2224]

How did something so simple become so complicated

[@NonsoMaths]

Let me see your approach.