Question 2

Simplify the following surd expressions:

(a) \( \sqrt{2} \times \sqrt{8} \) (b) \( (\sqrt{5} - 2)(\sqrt{5} + 1) \) (c) \( 7\sqrt{5} + \sqrt{5} \)
(d) \( \sqrt{3} \times \sqrt{27} \) (e) \( \sqrt{80} \div \sqrt{5} \) (f) \( 3 \times \sqrt{68} \)
(g) \( \sqrt{20} + \sqrt{45} \) (h) \( (\sqrt{3} + 5)(\sqrt{3} +2) \) (i) \( \sqrt{48} + \sqrt{75} \)
(j) \( \sqrt{125} \div \sqrt{180} \) (k) \( \sqrt{50} + \sqrt{98} \) (l) \( (\sqrt{7} - 3)(\sqrt{7} + 1) \)