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

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

Q1) \((5 + \sqrt23)(5+ \sqrt14 ) \) [ 25+\(5\sqrt{14}\)+\(5\sqrt{23}\)+\(\sqrt{322}\)]

Q2) \(3 ( 1 + \sqrt { 2 } )= \) [ \(3 + \) \(3\sqrt{2}\)]

Q2) \( \sqrt { 2 } ( 5 + \sqrt { 6 } )= \) [ \(5\sqrt{2}\) + \(2\sqrt{3}\) ]

Q2) \((3 + \sqrt10)(4+ \sqrt12 ) \) [ 12+\(6\sqrt{3}\)+\(4\sqrt{10}\)+\(2\sqrt{30}\)]

Q3) \(4 ( 1 + \sqrt { 3 } )= \) [ \(4 + \) \(4\sqrt{3}\)]

Q3) \( \sqrt { 2 } ( 4 + \sqrt { 6 } )= \) [ \(4\sqrt{2}\) + \(2\sqrt{3}\) ]

Q3) \((1 + \sqrt2)(3+ \sqrt2 ) \) [ 5+\(4\sqrt{2}\)]

Q4) \(3 ( 3 + \sqrt { 5 } )= \) [ \(9 + \) \(3\sqrt{5}\)]

Q4) \( \sqrt { 4 } ( 3 + \sqrt { 3 } )= \) [ \(6\) + \(2\sqrt{3}\) ]

Q4) \((1 + \sqrt3)(3+ \sqrt3 ) \) [ 6+\(4\sqrt{3}\)]

Q5) \(2 ( 4 + \sqrt { 2 } )= \) [ \(8 + \) \(2\sqrt{2}\)]

Q5) \( \sqrt { 5 } ( 2 + \sqrt { 5 } )= \) [ \(2\sqrt{5}\) + \(5\) ]

Q5) \((1 + \sqrt2)(2+ \sqrt2 ) \) [ 4+\(3\sqrt{2}\)]

Q6) \(5 ( 5 + \sqrt { 18 } )= \) [ \(25 + \) \(15\sqrt{2}\)]

Q6) \( \sqrt { 5 } ( 3 + \sqrt { 11 } )= \) [ \(3\sqrt{5}\) + \(\sqrt{55}\) ]

Q6) \((5 + \sqrt2)(3+ \sqrt12 ) \) [ 15+\(10\sqrt{3}\)+\(3\sqrt{2}\)+\(2\sqrt{6}\)]

Q7) \(4 ( 3 + \sqrt { 6 } )= \) [ \(12 + \) \(4\sqrt{6}\)]

Q7) \( \sqrt { 5 } ( 1 + \sqrt { 3 } )= \) [ \(\sqrt{5}\) + \(\sqrt{15}\) ]

Q7) \((3 + \sqrt2)(4+ \sqrt3 ) \) [ 12+\(3\sqrt{3}\)+\(4\sqrt{2}\)+\(\sqrt{6}\)]

Q8) \(4 ( 3 + \sqrt { 5 } )= \) [ \(12 + \) \(4\sqrt{5}\)]

Q8) \( \sqrt { 2 } ( 3 + \sqrt { 2 } )= \) [ \(3\sqrt{2}\) + \(2\) ]

Q8) \((2 + \sqrt5)(5+ \sqrt10 ) \) [ 10+\(2\sqrt{10}\)+\(5\sqrt{5}\)+\(5\sqrt{2}\)]

Q9) \(4 ( 5 + \sqrt { 20 } )= \) [ \(20 + \) \(8\sqrt{5}\)]

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

Q9) \((3 + \sqrt8)(5+ \sqrt10 ) \) [ 15+\(3\sqrt{10}\)+\(10\sqrt{2}\)+\(4\sqrt{5}\)]

Q10) \(4 ( 4 + \sqrt { 8 } )= \) [ \(16 + \) \(8\sqrt{2}\)]

Q10) \( \sqrt { 4 } ( 2 + \sqrt { 6 } )= \) [ \(4\) + \(2\sqrt{6}\) ]

Q10) \((4 + \sqrt8)(4+ \sqrt5 ) \) [ 16+\(4\sqrt{5}\)+\(8\sqrt{2}\)+\(2\sqrt{10}\)]