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1. Classify the following numbers as rational or irrational:

(ii) \((3+\sqrt{23})-\sqrt{23}\)

(iii) \({2\sqrt 7}\over{7\sqrt 7}\)

2. Simplify each of the following expressions:

(i) \((3+\sqrt 3)(2+\sqrt 2)\)

(ii) \((3+\sqrt 3)(3-\sqrt 3)\)

(iv) \((\sqrt 5-\sqrt 2)(\sqrt 5+\sqrt 2)\)

4. Represent \(\sqrt {9.3}\) on the number line.

5. Rationalise the denominators of the following:

(ii) \(1\over{\sqrt 7-\sqrt 6}\)