If n=2+root3 find n square +1/n square
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Answer:2.07
Step-by-step explanation:If n=2+ root 3 ,then n^2=(2+root)^2=2^2+3+4 root 3=4+3+4 root3=7+4root 3
n square +1/n square=7+4 root 3+1/7+4 root 3
=(7+4 root 3 )×(7+4 root 3)+1/7+4 root 3
=28.1388564422+1/7+4 root 3
(since 28.1388564422approximately 28)
=29/7+4×1.732 (since root3=1.732)
29/7+6.928 (since 6.928 approximately 7
=29/7+7=29/14=2.07
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