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

Q1) \( \sqrt { 3 } ( 3 + \sqrt { 5 } )= \) [ \(3\sqrt{3}\) + \(\sqrt{15}\) ]

Q1) \((4 + \sqrt11)(3+ \sqrt5 ) \) [ 12+\(4\sqrt{5}\)+\(3\sqrt{11}\)+\(\sqrt{55}\)]

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

Q2) \( \sqrt { 5 } ( 2 + \sqrt { 7 } )= \) [ \(2\sqrt{5}\) + \(\sqrt{35}\) ]

Q2) \((5 + \sqrt8)(5+ \sqrt24 ) \) [ 25+\(10\sqrt{6}\)+\(10\sqrt{2}\)+\(8\sqrt{3}\)]

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

Q3) \( \sqrt { 3 } ( 4 + \sqrt { 7 } )= \) [ \(4\sqrt{3}\) + \(\sqrt{21}\) ]

Q3) \((3 + \sqrt3)(1+ \sqrt2 ) \) [ 3+\(3\sqrt{2}\)+\(\sqrt{3}\)+\(\sqrt{6}\)]

Q4) \(3 ( 5 + \sqrt { 8 } )= \) [ \(15 + \) \(6\sqrt{2}\)]

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

Q4) \((1 + \sqrt3)(4+ \sqrt2 ) \) [ 4+\(\sqrt{2}\)+\(4\sqrt{3}\)+\(\sqrt{6}\)]

Q5) \(3 ( 4 + \sqrt { 11 } )= \) [ \(12 + \) \(3\sqrt{11}\)]

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

Q5) \((3 + \sqrt3)(2+ \sqrt3 ) \) [ 9+\(5\sqrt{3}\)]

Q6) \(3 ( 1 + \sqrt { 3 } )= \) [ \(3 + \) \(3\sqrt{3}\)]

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

Q6) \((5 + \sqrt3)(3+ \sqrt2 ) \) [ 15+\(5\sqrt{2}\)+\(3\sqrt{3}\)+\(\sqrt{6}\)]

Q7) \(3 ( 5 + \sqrt { 14 } )= \) [ \(15 + \) \(3\sqrt{14}\)]

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

Q7) \((4 + \sqrt12)(3+ \sqrt5 ) \) [ 12+\(4\sqrt{5}\)+\(6\sqrt{3}\)+\(2\sqrt{15}\)]

Q8) \(4 ( 3 + \sqrt { 8 } )= \) [ \(12 + \) \(8\sqrt{2}\)]

Q8) \( \sqrt { 2 } ( 4 + \sqrt { 7 } )= \) [ \(4\sqrt{2}\) + \(\sqrt{14}\) ]

Q8) \((5 + \sqrt5)(5+ \sqrt20 ) \) [ 25+\(10\sqrt{5}\)+\(5\sqrt{5}\)+\(10\)]

Q9) \(3 ( 2 + \sqrt { 3 } )= \) [ \(6 + \) \(3\sqrt{3}\)]

Q9) \( \sqrt { 3 } ( 5 + \sqrt { 2 } )= \) [ \(5\sqrt{3}\) + \(\sqrt{6}\) ]

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

Q10) \(3 ( 4 + \sqrt { 3 } )= \) [ \(12 + \) \(3\sqrt{3}\)]

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

Q10) \((1 + \sqrt3)(3+ \sqrt3 ) \) [ 6+\(4\sqrt{3}\)]