exam Maths Puzzle Numerical Ability

Do anybody know how to relate radical exprerssions and their applications to everyday life?

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exam Other Question

Millie is 2/3 as old as maude. Six years from now millie will be 5/7 as old as maude will be. How old is each? I want to ask following question:
1.Given n^3<10^n for a fixed positve integer n>=1, prove that (n+1)^3<10^n+1.
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