Study the set of numbers .

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Study the set of numbers {2,  1.40,  1.45}\{\sqrt{2},\;1.40,\;1.45\}. (i) Find a decimal approximation of 2\sqrt{2} correct to two decimal places. (ii) Using your result from part (i), arrange the three numbers in ascending order, giving reasons for each comparison you make.

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