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| 1. |
[(6√7) ²+(6√7) ^-2][(6√7) ⁴-1+(6√7) ^-4] |
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Answer» The GIVEN surds can be simplified as follows: (6
−7
)(6 2
−7 3
) =6 2
(6 2
−7 3
)−7 3
(6 2
−7 3
) =(6×6 2×2
)−(6×7 3×2
)−(7×6 3×2
)+(7×7 3×3
) =(36×2)−42 6
−42 6
+(49×3) =72−84 6
+147=219−84 6
.
HENCE, (6 2
−7 3
)(6 2
−7 3
)=219− |
|