Answer the following questions related to nth roots and areas of squares.

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

Problem

Answer the following questions related to nth roots and areas of squares. (i) State the definition of the nth root of a positive real number. (ii) If the area of a square is A cm2A\,\text{cm}^2, show that the length of each side of the square is A cm\sqrt{A}\,\text{cm}. (iii) The area of a square field is 45 m245\,\text{m}^2. Explain why the side length of the field is an irrational number and write it in simplest radical form.

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