A square piece of cardboard has an area given by the fraction

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

Problem

A square piece of cardboard has an area given by the fraction 12595 cm2\displaystyle \frac{125}{9\sqrt{5}}\,\text{cm}^2. Answer the questions below. (i) Rewrite the given area by rationalising the denominator and simplifying the radical part, if any. (ii) Hence find the exact length of one side of the square, leaving your answer in its simplest radical form. (iii) Calculate the numerical value of the side correct to two decimal places.

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