Q1) \(5 ( 3 + \sqrt { 12 } )= \) [ \(15 + \) \(10\sqrt{3}\)]

Q1) \( \sqrt { 5 } ( 1 + \sqrt { 2 } )= \) [ \(\sqrt{5}\) + \(\sqrt{10}\) ]

Q1) \((4 + \sqrt8)(4+ \sqrt10 ) \) [ 16+\(4\sqrt{10}\)+\(8\sqrt{2}\)+\(4\sqrt{5}\)]

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

Q2) \( \sqrt { 3 } ( 4 + \sqrt { 12 } )= \) [ \(4\sqrt{3}\) + \(6\) ]

Q2) \((5 + \sqrt6)(4+ \sqrt10 ) \) [ 20+\(5\sqrt{10}\)+\(4\sqrt{6}\)+\(2\sqrt{15}\)]

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

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

Q3) \((4 + \sqrt3)(3+ \sqrt6 ) \) [ 12+\(4\sqrt{6}\)+\(3\sqrt{3}\)+\(3\sqrt{2}\)]

Q4) \(4 ( 3 + \sqrt { 2 } )= \) [ \(12 + \) \(4\sqrt{2}\)]

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

Q4) \((4 + \sqrt8)(3+ \sqrt2 ) \) [ 12+\(4\sqrt{2}\)+\(6\sqrt{2}\)+\(4\)]

Q5) \(3 ( 5 + \sqrt { 12 } )= \) [ \(15 + \) \(6\sqrt{3}\)]

Q5) \( \sqrt { 4 } ( 4 + \sqrt { 7 } )= \) [ \(8\) + \(2\sqrt{7}\) ]

Q5) \((3 + \sqrt3)(1+ \sqrt2 ) \) [ 3+\(3\sqrt{2}\)+\(\sqrt{3}\)+\(\sqrt{6}\)]

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

Q6) \( \sqrt { 4 } ( 5 + \sqrt { 17 } )= \) [ \(10\) + \(2\sqrt{17}\) ]

Q6) \((3 + \sqrt2)(4+ \sqrt3 ) \) [ 12+\(3\sqrt{3}\)+\(4\sqrt{2}\)+\(\sqrt{6}\)]

Q7) \(4 ( 3 + \sqrt { 7 } )= \) [ \(12 + \) \(4\sqrt{7}\)]

Q7) \( \sqrt { 5 } ( 3 + \sqrt { 12 } )= \) [ \(3\sqrt{5}\) + \(2\sqrt{15}\) ]

Q7) \((3 + \sqrt2)(1+ \sqrt3 ) \) [ 3+\(3\sqrt{3}\)+\(\sqrt{2}\)+\(\sqrt{6}\)]

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

Q8) \( \sqrt { 3 } ( 3 + \sqrt { 6 } )= \) [ \(3\sqrt{3}\) + \(3\sqrt{2}\) ]

Q8) \((1 + \sqrt2)(2+ \sqrt2 ) \) [ 4+\(3\sqrt{2}\)]

Q9) \(5 ( 3 + \sqrt { 8 } )= \) [ \(15 + \) \(10\sqrt{2}\)]

Q9) \( \sqrt { 3 } ( 5 + \sqrt { 6 } )= \) [ \(5\sqrt{3}\) + \(3\sqrt{2}\) ]

Q9) \((2 + \sqrt8)(5+ \sqrt7 ) \) [ 10+\(2\sqrt{7}\)+\(10\sqrt{2}\)+\(2\sqrt{14}\)]

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

Q10) \( \sqrt { 4 } ( 4 + \sqrt { 14 } )= \) [ \(8\) + \(2\sqrt{14}\) ]

Q10) \((3 + \sqrt6)(2+ \sqrt2 ) \) [ 6+\(3\sqrt{2}\)+\(2\sqrt{6}\)+\(2\sqrt{3}\)]