1.

Simplify 6-4root3/ 6+4root3​

Answer»

(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)

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