Q1) \(4 ( 1 + \sqrt { 2 } )= \) [ \(4 + \) \(4\sqrt{2}\)]

Q1) \( \sqrt { 4 } ( 3 + \sqrt { 8 } )= \) [ \(6\) + \(4\sqrt{2}\) ]

Q1) \((1 + \sqrt2)(2+ \sqrt2 ) \) [ 4+\(3\sqrt{2}\)]

Q2) \(2 ( 2 + \sqrt { 2 } )= \) [ \(4 + \) \(2\sqrt{2}\)]

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

Q2) \((3 + \sqrt3)(3+ \sqrt5 ) \) [ 9+\(3\sqrt{5}\)+\(3\sqrt{3}\)+\(\sqrt{15}\)]

Q3) \(4 ( 3 + \sqrt { 6 } )= \) [ \(12 + \) \(4\sqrt{6}\)]

Q3) \( \sqrt { 4 } ( 4 + \sqrt { 14 } )= \) [ \(8\) + \(2\sqrt{14}\) ]

Q3) \((3 + \sqrt8)(5+ \sqrt14 ) \) [ 15+\(3\sqrt{14}\)+\(10\sqrt{2}\)+\(4\sqrt{7}\)]

Q4) \(5 ( 2 + \sqrt { 3 } )= \) [ \(10 + \) \(5\sqrt{3}\)]

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

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

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

Q5) \( \sqrt { 5 } ( 1 + \sqrt { 5 } )= \) [ \(\sqrt{5}\) + \(5\) ]

Q5) \((5 + \sqrt17)(5+ \sqrt6 ) \) [ 25+\(5\sqrt{6}\)+\(5\sqrt{17}\)+\(\sqrt{102}\)]

Q6) \(4 ( 5 + \sqrt { 14 } )= \) [ \(20 + \) \(4\sqrt{14}\)]

Q6) \( \sqrt { 4 } ( 2 + \sqrt { 7 } )= \) [ \(4\) + \(2\sqrt{7}\) ]

Q6) \((5 + \sqrt12)(4+ \sqrt5 ) \) [ 20+\(5\sqrt{5}\)+\(8\sqrt{3}\)+\(2\sqrt{15}\)]

Q7) \(3 ( 3 + \sqrt { 3 } )= \) [ \(9 + \) \(3\sqrt{3}\)]

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

Q7) \((1 + \sqrt2)(3+ \sqrt2 ) \) [ 5+\(4\sqrt{2}\)]

Q8) \(2 ( 1 + \sqrt { 2 } )= \) [ \(2 + \) \(2\sqrt{2}\)]

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

Q8) \((5 + \sqrt2)(1+ \sqrt2 ) \) [ 7+\(6\sqrt{2}\)]

Q9) \(2 ( 5 + \sqrt { 8 } )= \) [ \(10 + \) \(4\sqrt{2}\)]

Q9) \( \sqrt { 3 } ( 1 + \sqrt { 2 } )= \) [ \(\sqrt{3}\) + \(\sqrt{6}\) ]

Q9) \((2 + \sqrt3)(3+ \sqrt6 ) \) [ 6+\(2\sqrt{6}\)+\(3\sqrt{3}\)+\(3\sqrt{2}\)]

Q10) \(2 ( 4 + \sqrt { 5 } )= \) [ \(8 + \) \(2\sqrt{5}\)]

Q10) \( \sqrt { 2 } ( 3 + \sqrt { 5 } )= \) [ \(3\sqrt{2}\) + \(\sqrt{10}\) ]

Q10) \((2 + \sqrt2)(1+ \sqrt2 ) \) [ 4+\(3\sqrt{2}\)]