[(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
2
−7
3
)(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−
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