Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
(i) $\frac{1}{4}, -1$
(ii) $\sqrt{2}, \frac{1}{4}$
(iii) $0, \sqrt{5}$
(iv) $1, 1$
(v) $- \frac{1}{4}, \frac{1}{4}$
(iv) $4, 1$
3. Prove that $3 + 2 \sqrt{5}$ is irrational
4. Prove that $\sqrt{5}$ is irrational
6. Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
7. Check whether 6n can end with the digit 0 for any natural number n.