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Find-the-largest-integer-smaller-than-7-4-3-3-




Question Number 116987 by ZiYangLee last updated on 08/Oct/20
Find the largest integer smaller than  (7+4(√3))^3 .
Findthelargestintegersmallerthan(7+43)3.
Answered by 1549442205PVT last updated on 08/Oct/20
a=(7+4(√3))^3 =343+588(√3)+1008+64(√3)  b=(7−4(√3))^3 =343−588(√3)+1008−64(√3)  a+b=1341×2=2682  0<b=(7−4(√3))^3 <1⇒[(7+4(√3))]=2681
a=(7+43)3=343+5883+1008+643b=(743)3=3435883+1008643a+b=1341×2=26820<b=(743)3<1[(7+43)]=2681

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