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

Q1) \( \sqrt { 4 } ( 5 + \sqrt { 11 } )= \) [ \(10\) + \(2\sqrt{11}\) ]

Q1) \((4 + \sqrt6)(5+ \sqrt11 ) \) [ 20+\(4\sqrt{11}\)+\(5\sqrt{6}\)+\(\sqrt{66}\)]

Q2) \(4 ( 3 + \sqrt { 12 } )= \) [ \(12 + \) \(8\sqrt{3}\)]

Q2) \( \sqrt { 5 } ( 1 + \sqrt { 5 } )= \) [ \(\sqrt{5}\) + \(5\) ]

Q2) \((1 + \sqrt2)(5+ \sqrt5 ) \) [ 5+\(\sqrt{5}\)+\(5\sqrt{2}\)+\(\sqrt{10}\)]

Q3) \(4 ( 3 + \sqrt { 8 } )= \) [ \(12 + \) \(8\sqrt{2}\)]

Q3) \( \sqrt { 4 } ( 5 + \sqrt { 7 } )= \) [ \(10\) + \(2\sqrt{7}\) ]

Q3) \((2 + \sqrt2)(4+ \sqrt2 ) \) [ 10+\(6\sqrt{2}\)]

Q4) \(2 ( 1 + \sqrt { 2 } )= \) [ \(2 + \) \(2\sqrt{2}\)]

Q4) \( \sqrt { 5 } ( 5 + \sqrt { 13 } )= \) [ \(5\sqrt{5}\) + \(\sqrt{65}\) ]

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

Q5) \(5 ( 5 + \sqrt { 6 } )= \) [ \(25 + \) \(5\sqrt{6}\)]

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

Q5) \((2 + \sqrt8)(5+ \sqrt2 ) \) [ 10+\(2\sqrt{2}\)+\(10\sqrt{2}\)+\(4\)]

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

Q6) \( \sqrt { 2 } ( 3 + \sqrt { 3 } )= \) [ \(3\sqrt{2}\) + \(\sqrt{6}\) ]

Q6) \((5 + \sqrt3)(3+ \sqrt12 ) \) [ 15+\(10\sqrt{3}\)+\(3\sqrt{3}\)+\(6\)]

Q7) \(4 ( 3 + \sqrt { 11 } )= \) [ \(12 + \) \(4\sqrt{11}\)]

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

Q7) \((5 + \sqrt5)(3+ \sqrt5 ) \) [ 20+\(8\sqrt{5}\)]

Q8) \(4 ( 4 + \sqrt { 3 } )= \) [ \(16 + \) \(4\sqrt{3}\)]

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

Q8) \((1 + \sqrt2)(1+ \sqrt2 ) \) [ 3+\(2\sqrt{2}\)]

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

Q9) \( \sqrt { 3 } ( 4 + \sqrt { 10 } )= \) [ \(4\sqrt{3}\) + \(\sqrt{30}\) ]

Q9) \((5 + \sqrt3)(4+ \sqrt15 ) \) [ 20+\(5\sqrt{15}\)+\(4\sqrt{3}\)+\(3\sqrt{5}\)]

Q10) \(3 ( 5 + \sqrt { 2 } )= \) [ \(15 + \) \(3\sqrt{2}\)]

Q10) \( \sqrt { 4 } ( 5 + \sqrt { 8 } )= \) [ \(10\) + \(4\sqrt{2}\) ]

Q10) \((5 + \sqrt24)(5+ \sqrt8 ) \) [ 25+\(10\sqrt{2}\)+\(10\sqrt{6}\)+\(8\sqrt{3}\)]