Q1) \(4 ( 4 + \sqrt { 6 } )= \) [ \(16 + \) \(4\sqrt{6}\)]

Q1) \( \sqrt { 3 } ( 4 + \sqrt { 12 } )= \) [ \(4\sqrt{3}\) + \(6\) ]

Q1) \((3 + \sqrt12)(4+ \sqrt3 ) \) [ 12+\(3\sqrt{3}\)+\(8\sqrt{3}\)+\(6\)]

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

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

Q2) \((5 + \sqrt5)(1+ \sqrt5 ) \) [ 10+\(6\sqrt{5}\)]

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

Q3) \( \sqrt { 5 } ( 5 + \sqrt { 20 } )= \) [ \(5\sqrt{5}\) + \(10\) ]

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

Q4) \(4 ( 3 + \sqrt { 3 } )= \) [ \(12 + \) \(4\sqrt{3}\)]

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

Q4) \((2 + \sqrt6)(3+ \sqrt5 ) \) [ 6+\(2\sqrt{5}\)+\(3\sqrt{6}\)+\(\sqrt{30}\)]

Q5) \(5 ( 4 + \sqrt { 12 } )= \) [ \(20 + \) \(10\sqrt{3}\)]

Q5) \( \sqrt { 4 } ( 3 + \sqrt { 12 } )= \) [ \(6\) + \(4\sqrt{3}\) ]

Q5) \((4 + \sqrt2)(2+ \sqrt8 ) \) [ 8+\(8\sqrt{2}\)+\(2\sqrt{2}\)+\(4\)]

Q6) \(3 ( 4 + \sqrt { 12 } )= \) [ \(12 + \) \(6\sqrt{3}\)]

Q6) \( \sqrt { 5 } ( 3 + \sqrt { 7 } )= \) [ \(3\sqrt{5}\) + \(\sqrt{35}\) ]

Q6) \((4 + \sqrt13)(4+ \sqrt5 ) \) [ 16+\(4\sqrt{5}\)+\(4\sqrt{13}\)+\(\sqrt{65}\)]

Q7) \(2 ( 4 + \sqrt { 6 } )= \) [ \(8 + \) \(2\sqrt{6}\)]

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

Q7) \((4 + \sqrt11)(5+ \sqrt18 ) \) [ 20+\(12\sqrt{2}\)+\(5\sqrt{11}\)+\(3\sqrt{22}\)]

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

Q8) \( \sqrt { 3 } ( 1 + \sqrt { 3 } )= \) [ \(\sqrt{3}\) + \(3\) ]

Q8) \((2 + \sqrt8)(4+ \sqrt3 ) \) [ 8+\(2\sqrt{3}\)+\(8\sqrt{2}\)+\(2\sqrt{6}\)]

Q9) \(5 ( 5 + \sqrt { 21 } )= \) [ \(25 + \) \(5\sqrt{21}\)]

Q9) \( \sqrt { 5 } ( 1 + \sqrt { 5 } )= \) [ \(\sqrt{5}\) + \(5\) ]

Q9) \((4 + \sqrt3)(4+ \sqrt15 ) \) [ 16+\(4\sqrt{15}\)+\(4\sqrt{3}\)+\(3\sqrt{5}\)]

Q10) \(3 ( 1 + \sqrt { 3 } )= \) [ \(3 + \) \(3\sqrt{3}\)]

Q10) \( \sqrt { 3 } ( 1 + \sqrt { 2 } )= \) [ \(\sqrt{3}\) + \(\sqrt{6}\) ]

Q10) \((4 + \sqrt17)(5+ \sqrt20 ) \) [ 20+\(8\sqrt{5}\)+\(5\sqrt{17}\)+\(2\sqrt{85}\)]