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

Q1) \( \sqrt { 3 } ( 5 + \sqrt { 10 } )= \) [ \(5\sqrt{3}\) + \(\sqrt{30}\) ]

Q1) \((5 + \sqrt14)(5+ \sqrt20 ) \) [ 25+\(10\sqrt{5}\)+\(5\sqrt{14}\)+\(2\sqrt{70}\)]

Q2) \(3 ( 3 + \sqrt { 8 } )= \) [ \(9 + \) \(6\sqrt{2}\)]

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

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

Q3) \(3 ( 5 + \sqrt { 2 } )= \) [ \(15 + \) \(3\sqrt{2}\)]

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

Q3) \((3 + \sqrt5)(5+ \sqrt7 ) \) [ 15+\(3\sqrt{7}\)+\(5\sqrt{5}\)+\(\sqrt{35}\)]

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

Q4) \( \sqrt { 4 } ( 5 + \sqrt { 12 } )= \) [ \(10\) + \(4\sqrt{3}\) ]

Q4) \((5 + \sqrt3)(1+ \sqrt3 ) \) [ 8+\(6\sqrt{3}\)]

Q5) \(5 ( 1 + \sqrt { 3 } )= \) [ \(5 + \) \(5\sqrt{3}\)]

Q5) \( \sqrt { 4 } ( 3 + \sqrt { 3 } )= \) [ \(6\) + \(2\sqrt{3}\) ]

Q5) \((4 + \sqrt3)(1+ \sqrt2 ) \) [ 4+\(4\sqrt{2}\)+\(\sqrt{3}\)+\(\sqrt{6}\)]

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

Q6) \( \sqrt { 3 } ( 5 + \sqrt { 3 } )= \) [ \(5\sqrt{3}\) + \(3\) ]

Q6) \((5 + \sqrt5)(4+ \sqrt2 ) \) [ 20+\(5\sqrt{2}\)+\(4\sqrt{5}\)+\(\sqrt{10}\)]

Q7) \(4 ( 4 + \sqrt { 5 } )= \) [ \(16 + \) \(4\sqrt{5}\)]

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

Q7) \((4 + \sqrt8)(5+ \sqrt8 ) \) [ 28+\(18\sqrt{2}\)]

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

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

Q8) \((3 + \sqrt5)(3+ \sqrt5 ) \) [ 14+\(6\sqrt{5}\)]

Q9) \(5 ( 4 + \sqrt { 15 } )= \) [ \(20 + \) \(5\sqrt{15}\)]

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

Q9) \((2 + \sqrt2)(1+ \sqrt2 ) \) [ 4+\(3\sqrt{2}\)]

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

Q10) \( \sqrt { 5 } ( 3 + \sqrt { 8 } )= \) [ \(3\sqrt{5}\) + \(2\sqrt{10}\) ]

Q10) \((5 + \sqrt18)(4+ \sqrt7 ) \) [ 20+\(5\sqrt{7}\)+\(12\sqrt{2}\)+\(3\sqrt{14}\)]