10. If x = √3 + √2 , find (a) x + 1 x (b) x2 + 1 x2 (c) x2 - 1 x2 ) d ) ( x + 1 x ) 3
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Answered by
1
Answer:
a) 2 root 3+2root 2 B) 2(root 3+ROOT 2+1) C) 2(root 3+root 2-1) D) 6( ROT 3+ ROOT 2)
Answered by
1
Answer:
x = √3 + √2
a) x + 1x
= √3 + √2 + 1(√3 + √2)
= √3 + √2 + √3 + √2
= 6.252
b) x2 + 1x2
= (√3 +√2)2 + 1(√3 + √2)2
= 2√3 + 2√2 + 2√3 + 2√2
= 12.585
c) x2 - 1x2
= (√3 +√2)2 - 1(√3 + √2)2
= 2√3 + 2√2 - 2√3 + 2√2
= 5.656
d) (x + 1x) 3
= (√3 + √2 + 1(√3 + √2))3
= (√3 + √2 + √3 + √2 )3
= 3√3 + 3√2 + 3√3 + 3√2
= 18.877
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