Consider the numbers .

MATHEMATICS · Multi-part · CBSE · Mathematics · A Square and A Cube · A Square and A Cube

Problem

Consider the numbers 6,  45 and 76,\;\sqrt{45}\text{ and }7. (i) Without using a calculator, show that 6<45<76<\sqrt{45}<7. (ii) Explain clearly how the relationship of the squares of these numbers leads to the inequality obtained in part (i).

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