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5) (i) 2√3-5√2+√3+2√2
=3√3-3√2
=3(√3-√2).
(ii) ⅔√7- ½√2+6√11+⅓√7+(3/2) √2-√11
=(3/3) √7+(2/2)√2+5√11
=√7+√2+5√11
6) (i) 3√5 ×2√5
=(3×2) (√5) ²
=6×5
=30
(ii) 3√28×2√7
=3√(4×7) ×2√7
=6√7×2√7
=12×7
=84
7) (i) (4+√2) (4-√2) [→(a+b) (a-b) =a²-b²]
=4²-(√2) ²
=16-2
=14
(ii) (√5-√3) ² [ → (a-b) ²=a²+b²-2ab]
=(√5) ²+(√3) ²-2(√5) (√3)
=5+3-2√5×3
=8-2√15
(iii) (√5-√2) (√2-√3)
=√5(√2-√3) -√2(√2-√3)
=√10-√15-2-√6
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