rosa, roberto, andrea, and inno find an estamate for the square root of ten who has proposed the best solution

Rosa, use the square root of 9 and the square root of 25
Roberto, use the square root of 4 and the square root of 90
Andrea, use the square root of 11 and the square root of 12
Inno, use the square root of 9 and the square root of 16

Question

16-10-2017
Mathematics

contestada

rosa, roberto, andrea, and inno find an estamate for the square root of ten who has proposed the best solution

Rosa, use the square root of 9 and the square root of 25
Roberto, use the square root of 4 and the square root of 90
Andrea, use the square root of 11 and the square root of 12
Inno, use the square root of 9 and the square root of 16

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Kalahira Kalahira · Answer 1 · 2017-10-25T19:52:48+02:00

Inno: use the square root of 9 and the square root of 16 10 is between the perfect squares 3^2 = 9 and 4^2 = 16 Rosa's solution of 9 and 25 uses perfect squares but the wider range leaves more room for error. Roberto's as well with the added problem that 90 is not a perfect square and calculating that square root is just as hard as 10. Andrea's solution requires extrapolation which is best avoided if interpolation is an option and 11 and 12 are not perfect squares.