QR question TS #2

[mobius]

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#28
2+2sqrt3 what is the reciprocal


what is the easiest fastest way of doing this....

ans (-1-sqrt3)/4

 

[thakdha]

Reciprocal of 2 + 2 sqrt3 is 1 /2 + 2 sqrt3.

(1/ 2 + 2 sqrt 3 ) * (2 - 2 sqrt 3/ 2 - 2 sqrt 3)
= 2 - 2 sqrt 3 / 4 - 12
= (2 - 2 sqrt 3)/ (-8)
= (1 - sqrt 3)/ -4