The greatest integer less than or 6 equal to (2 + ✓3)^6 is
Answers
Answered by
0
Answer:
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Answered by
1
Answer:
We have,
(2+
3
)
6
+(2−
3
)
6
=[2
6
+
6
C
1
(2
5
)(
3
)+...+
6
C
5
(2)(
3
)
5
)+(
3
)
6
]+[2
6
−
6
C
1
(2
5
)(
3
)+...−
6
C
5
(2)(
3
)
5
)+(
3
)
6
)]
=2[2
6
+15×(16)(3)+15(4)(9)+27]
=2702
We have, 0<(2−
3
)<1.
Hence, 0<(2−
3
)
6
<1.
Hence, 2701<(2+
3
)
6
)<2702.
Step-by-step explanation:
answer is 2702
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