rationalise the denominator and simplify:
•6-4 root3/6+4 root 3
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Answer:
Step-by-step explanation:
(6- 4√3)/ (6+ 4√3) ,
={(6-4√3)× (6- 4√3)} / {(6+ 4√3)× (6-4√3)} ,
={(6-4√3)^2} / { 6^2 - (4√3)^2} ,
= {36 + 48 - 36√3} / {36 - 48} ,
= (84 -36√3) / (-12) ,
= -12(3√3 - 7) / (-12) ,
= (3√3 - 7).
Hope it helps you.
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