Q1) \(3 ( 5 + \sqrt { 11 } )= \) [ \(15 + \) \(3\sqrt{11}\)]

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

Q1) \((4 + \sqrt2)(3+ \sqrt5 ) \) [ 12+\(4\sqrt{5}\)+\(3\sqrt{2}\)+\(\sqrt{10}\)]

Q2) \(3 ( 4 + \sqrt { 11 } )= \) [ \(12 + \) \(3\sqrt{11}\)]

Q2) \( \sqrt { 4 } ( 2 + \sqrt { 5 } )= \) [ \(4\) + \(2\sqrt{5}\) ]

Q2) \((1 + \sqrt2)(1+ \sqrt2 ) \) [ 3+\(2\sqrt{2}\)]

Q3) \(3 ( 3 + \sqrt { 2 } )= \) [ \(9 + \) \(3\sqrt{2}\)]

Q3) \( \sqrt { 5 } ( 4 + \sqrt { 5 } )= \) [ \(4\sqrt{5}\) + \(5\) ]

Q3) \((5 + \sqrt20)(4+ \sqrt8 ) \) [ 20+\(10\sqrt{2}\)+\(8\sqrt{5}\)+\(4\sqrt{10}\)]

Q4) \(3 ( 4 + \sqrt { 5 } )= \) [ \(12 + \) \(3\sqrt{5}\)]

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

Q4) \((2 + \sqrt2)(5+ \sqrt7 ) \) [ 10+\(2\sqrt{7}\)+\(5\sqrt{2}\)+\(\sqrt{14}\)]

Q5) \(4 ( 4 + \sqrt { 13 } )= \) [ \(16 + \) \(4\sqrt{13}\)]

Q5) \( \sqrt { 5 } ( 4 + \sqrt { 8 } )= \) [ \(4\sqrt{5}\) + \(2\sqrt{10}\) ]

Q5) \((4 + \sqrt10)(3+ \sqrt12 ) \) [ 12+\(8\sqrt{3}\)+\(3\sqrt{10}\)+\(2\sqrt{30}\)]

Q6) \(5 ( 2 + \sqrt { 6 } )= \) [ \(10 + \) \(5\sqrt{6}\)]

Q6) \( \sqrt { 4 } ( 2 + \sqrt { 8 } )= \) [ \(4\) + \(4\sqrt{2}\) ]

Q6) \((3 + \sqrt2)(1+ \sqrt3 ) \) [ 3+\(3\sqrt{3}\)+\(\sqrt{2}\)+\(\sqrt{6}\)]

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

Q7) \( \sqrt { 3 } ( 1 + \sqrt { 2 } )= \) [ \(\sqrt{3}\) + \(\sqrt{6}\) ]

Q7) \((3 + \sqrt5)(3+ \sqrt2 ) \) [ 9+\(3\sqrt{2}\)+\(3\sqrt{5}\)+\(\sqrt{10}\)]

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

Q8) \( \sqrt { 5 } ( 5 + \sqrt { 14 } )= \) [ \(5\sqrt{5}\) + \(\sqrt{70}\) ]

Q8) \((4 + \sqrt2)(2+ \sqrt8 ) \) [ 8+\(8\sqrt{2}\)+\(2\sqrt{2}\)+\(4\)]

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

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

Q9) \((1 + \sqrt2)(5+ \sqrt3 ) \) [ 5+\(\sqrt{3}\)+\(5\sqrt{2}\)+\(\sqrt{6}\)]

Q10) \(5 ( 5 + \sqrt { 19 } )= \) [ \(25 + \) \(5\sqrt{19}\)]

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

Q10) \((3 + \sqrt10)(4+ \sqrt2 ) \) [ 12+\(3\sqrt{2}\)+\(4\sqrt{10}\)+\(2\sqrt{5}\)]