Q1) \(2 ( 4 + \sqrt { 7 } )= \) [ \(8 + \) \(2\sqrt{7}\)]

Q1) \( \sqrt { 3 } ( 1 + \sqrt { 2 } )= \) [ \(\sqrt{3}\) + \(\sqrt{6}\) ]

Q1) \((4 + \sqrt11)(5+ \sqrt10 ) \) [ 20+\(4\sqrt{10}\)+\(5\sqrt{11}\)+\(\sqrt{110}\)]

Q2) \(3 ( 3 + \sqrt { 5 } )= \) [ \(9 + \) \(3\sqrt{5}\)]

Q2) \( \sqrt { 5 } ( 5 + \sqrt { 24 } )= \) [ \(5\sqrt{5}\) + \(2\sqrt{30}\) ]

Q2) \((5 + \sqrt21)(5+ \sqrt15 ) \) [ 25+\(5\sqrt{15}\)+\(5\sqrt{21}\)+\(3\sqrt{35}\)]

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

Q3) \( \sqrt { 2 } ( 4 + \sqrt { 6 } )= \) [ \(4\sqrt{2}\) + \(2\sqrt{3}\) ]

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

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

Q4) \( \sqrt { 3 } ( 5 + \sqrt { 7 } )= \) [ \(5\sqrt{3}\) + \(\sqrt{21}\) ]

Q4) \((2 + \sqrt3)(4+ \sqrt6 ) \) [ 8+\(2\sqrt{6}\)+\(4\sqrt{3}\)+\(3\sqrt{2}\)]

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

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

Q5) \((1 + \sqrt2)(1+ \sqrt2 ) \) [ 3+\(2\sqrt{2}\)]

Q6) \(3 ( 1 + \sqrt { 2 } )= \) [ \(3 + \) \(3\sqrt{2}\)]

Q6) \( \sqrt { 5 } ( 1 + \sqrt { 2 } )= \) [ \(\sqrt{5}\) + \(\sqrt{10}\) ]

Q6) \((4 + \sqrt8)(3+ \sqrt12 ) \) [ 12+\(8\sqrt{3}\)+\(6\sqrt{2}\)+\(4\sqrt{6}\)]

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

Q7) \( \sqrt { 3 } ( 4 + \sqrt { 6 } )= \) [ \(4\sqrt{3}\) + \(3\sqrt{2}\) ]

Q7) \((4 + \sqrt3)(2+ \sqrt8 ) \) [ 8+\(8\sqrt{2}\)+\(2\sqrt{3}\)+\(2\sqrt{6}\)]

Q8) \(5 ( 4 + \sqrt { 6 } )= \) [ \(20 + \) \(5\sqrt{6}\)]

Q8) \( \sqrt { 2 } ( 3 + \sqrt { 5 } )= \) [ \(3\sqrt{2}\) + \(\sqrt{10}\) ]

Q8) \((5 + \sqrt5)(2+ \sqrt6 ) \) [ 10+\(5\sqrt{6}\)+\(2\sqrt{5}\)+\(\sqrt{30}\)]

Q9) \(5 ( 3 + \sqrt { 11 } )= \) [ \(15 + \) \(5\sqrt{11}\)]

Q9) \( \sqrt { 3 } ( 2 + \sqrt { 5 } )= \) [ \(2\sqrt{3}\) + \(\sqrt{15}\) ]

Q9) \((4 + \sqrt8)(2+ \sqrt3 ) \) [ 8+\(4\sqrt{3}\)+\(4\sqrt{2}\)+\(2\sqrt{6}\)]

Q10) \(4 ( 5 + \sqrt { 10 } )= \) [ \(20 + \) \(4\sqrt{10}\)]

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

Q10) \((1 + \sqrt3)(4+ \sqrt2 ) \) [ 4+\(\sqrt{2}\)+\(4\sqrt{3}\)+\(\sqrt{6}\)]