Q.1. Classify the following numbers as rational or irrational: (i) 2–√5, (ii) (3+√23) –√23, (iii) (2√7)/(7√7),(iv) 1/(√2), (v) 2π ; Q.2. Simplify each of the following expressions: (i) (3 + √3) (2 + √2), (ii) (3 + √3) (3 –√3), (iii) (√5 + √2)^2, (iv) (√5 –√2) (√5 + √2) ; Q.3. Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is π = c/d . This seems to contradict the fact that π is irrational. How will you resolve this contradiction?; Q.4. Represent √((9.3) on the number line.; Q.5. Rationalise the denominators of the following: (i) 1/(√7), (ii) 1/(√7-√6), (iii) 1/(√5 + √2), (iv) 1/(√7 -2)
