Q1) \(3 ( 2 + \sqrt { 5 } )= \) [ \(6 + \) \(3\sqrt{5}\)]

Q1) \( \sqrt { 2 } ( 5 + \sqrt { 3 } )= \) [ \(5\sqrt{2}\) + \(\sqrt{6}\) ]

Q1) \((3 + \sqrt3)(4+ \sqrt2 ) \) [ 12+\(3\sqrt{2}\)+\(4\sqrt{3}\)+\(\sqrt{6}\)]

Q2) \(2 ( 1 + \sqrt { 2 } )= \) [ \(2 + \) \(2\sqrt{2}\)]

Q2) \( \sqrt { 5 } ( 2 + \sqrt { 10 } )= \) [ \(2\sqrt{5}\) + \(5\sqrt{2}\) ]

Q2) \((4 + \sqrt14)(4+ \sqrt15 ) \) [ 16+\(4\sqrt{15}\)+\(4\sqrt{14}\)+\(\sqrt{210}\)]

Q3) \(4 ( 2 + \sqrt { 8 } )= \) [ \(8 + \) \(8\sqrt{2}\)]

Q3) \( \sqrt { 2 } ( 4 + \sqrt { 7 } )= \) [ \(4\sqrt{2}\) + \(\sqrt{14}\) ]

Q3) \((3 + \sqrt14)(5+ \sqrt6 ) \) [ 15+\(3\sqrt{6}\)+\(5\sqrt{14}\)+\(2\sqrt{21}\)]

Q4) \(4 ( 2 + \sqrt { 2 } )= \) [ \(8 + \) \(4\sqrt{2}\)]

Q4) \( \sqrt { 3 } ( 1 + \sqrt { 3 } )= \) [ \(\sqrt{3}\) + \(3\) ]

Q4) \((4 + \sqrt14)(5+ \sqrt8 ) \) [ 20+\(8\sqrt{2}\)+\(5\sqrt{14}\)+\(4\sqrt{7}\)]

Q5) \(2 ( 2 + \sqrt { 3 } )= \) [ \(4 + \) \(2\sqrt{3}\)]

Q5) \( \sqrt { 3 } ( 5 + \sqrt { 5 } )= \) [ \(5\sqrt{3}\) + \(\sqrt{15}\) ]

Q5) \((5 + \sqrt8)(5+ \sqrt3 ) \) [ 25+\(5\sqrt{3}\)+\(10\sqrt{2}\)+\(2\sqrt{6}\)]

Q6) \(4 ( 3 + \sqrt { 5 } )= \) [ \(12 + \) \(4\sqrt{5}\)]

Q6) \( \sqrt { 5 } ( 4 + \sqrt { 10 } )= \) [ \(4\sqrt{5}\) + \(5\sqrt{2}\) ]

Q6) \((3 + \sqrt3)(2+ \sqrt3 ) \) [ 9+\(5\sqrt{3}\)]

Q7) \(4 ( 1 + \sqrt { 2 } )= \) [ \(4 + \) \(4\sqrt{2}\)]

Q7) \( \sqrt { 5 } ( 4 + \sqrt { 12 } )= \) [ \(4\sqrt{5}\) + \(2\sqrt{15}\) ]

Q7) \((4 + \sqrt6)(5+ \sqrt14 ) \) [ 20+\(4\sqrt{14}\)+\(5\sqrt{6}\)+\(2\sqrt{21}\)]

Q8) \(4 ( 4 + \sqrt { 5 } )= \) [ \(16 + \) \(4\sqrt{5}\)]

Q8) \( \sqrt { 4 } ( 2 + \sqrt { 7 } )= \) [ \(4\) + \(2\sqrt{7}\) ]

Q8) \((2 + \sqrt7)(4+ \sqrt6 ) \) [ 8+\(2\sqrt{6}\)+\(4\sqrt{7}\)+\(\sqrt{42}\)]

Q9) \(2 ( 2 + \sqrt { 2 } )= \) [ \(4 + \) \(2\sqrt{2}\)]

Q9) \( \sqrt { 2 } ( 2 + \sqrt { 2 } )= \) [ \(2\sqrt{2}\) + \(2\) ]

Q9) \((1 + \sqrt2)(2+ \sqrt2 ) \) [ 4+\(3\sqrt{2}\)]

Q10) \(5 ( 2 + \sqrt { 2 } )= \) [ \(10 + \) \(5\sqrt{2}\)]

Q10) \( \sqrt { 5 } ( 4 + \sqrt { 3 } )= \) [ \(4\sqrt{5}\) + \(\sqrt{15}\) ]

Q10) \((4 + \sqrt10)(4+ \sqrt10 ) \) [ 26+\(8\sqrt{10}\)]