Q1) \(3 ( 1 + \sqrt { 2 } )= \) \(3 + \) \(3\sqrt{2}\)
Q1) \( \sqrt { 2 } ( 3 + \sqrt { 6 } )= \) \(3\sqrt{2}\) + \(2\sqrt{3}\)
Q1) \((2 + \sqrt3)(2+ \sqrt3 ) \) 7+\(4\sqrt{3}\)
Q2) \(2 ( 2 + \sqrt { 2 } )= \) \(4 + \) \(2\sqrt{2}\)
Q2) \( \sqrt { 4 } ( 4 + \sqrt { 14 } )= \) \(8\) + \(2\sqrt{14}\)
Q2) \((5 + \sqrt20)(5+ \sqrt19 ) \) 25+\(5\sqrt{19}\)+\(10\sqrt{5}\)+\(2\sqrt{95}\)
Q3) \(4 ( 2 + \sqrt { 2 } )= \) \(8 + \) \(4\sqrt{2}\)
Q3) \( \sqrt { 4 } ( 5 + \sqrt { 19 } )= \) \(10\) + \(2\sqrt{19}\)
Q3) \((2 + \sqrt2)(2+ \sqrt3 ) \) 4+\(2\sqrt{3}\)+\(2\sqrt{2}\)+\(\sqrt{6}\)
Q4) \(2 ( 5 + \sqrt { 5 } )= \) \(10 + \) \(2\sqrt{5}\)
Q4) \( \sqrt { 3 } ( 1 + \sqrt { 2 } )= \) \(\sqrt{3}\) + \(\sqrt{6}\)
Q4) \((5 + \sqrt2)(1+ \sqrt3 ) \) 5+\(5\sqrt{3}\)+\(\sqrt{2}\)+\(\sqrt{6}\)
Q5) \(3 ( 5 + \sqrt { 12 } )= \) \(15 + \) \(6\sqrt{3}\)
Q5) \( \sqrt { 4 } ( 2 + \sqrt { 5 } )= \) \(4\) + \(2\sqrt{5}\)
Q5) \((1 + \sqrt2)(2+ \sqrt2 ) \) 4+\(3\sqrt{2}\)
Q6) \(4 ( 1 + \sqrt { 3 } )= \) \(4 + \) \(4\sqrt{3}\)
Q6) \( \sqrt { 2 } ( 5 + \sqrt { 8 } )= \) \(5\sqrt{2}\) + \(4\)
Q6) \((1 + \sqrt2)(3+ \sqrt3 ) \) 3+\(\sqrt{3}\)+\(3\sqrt{2}\)+\(\sqrt{6}\)
Q7) \(4 ( 5 + \sqrt { 2 } )= \) \(20 + \) \(4\sqrt{2}\)
Q7) \( \sqrt { 2 } ( 2 + \sqrt { 3 } )= \) \(2\sqrt{2}\) + \(\sqrt{6}\)
Q7) \((4 + \sqrt5)(2+ \sqrt7 ) \) 8+\(4\sqrt{7}\)+\(2\sqrt{5}\)+\(\sqrt{35}\)
Q8) \(5 ( 1 + \sqrt { 3 } )= \) \(5 + \) \(5\sqrt{3}\)
Q8) \( \sqrt { 5 } ( 1 + \sqrt { 5 } )= \) \(\sqrt{5}\) + \(5\)
Q8) \((1 + \sqrt3)(5+ \sqrt2 ) \) 5+\(\sqrt{2}\)+\(5\sqrt{3}\)+\(\sqrt{6}\)
Q9) \(4 ( 3 + \sqrt { 10 } )= \) \(12 + \) \(4\sqrt{10}\)
Q9) \( \sqrt { 3 } ( 4 + \sqrt { 10 } )= \) \(4\sqrt{3}\) + \(\sqrt{30}\)
Q9) \((5 + \sqrt5)(2+ \sqrt3 ) \) 10+\(5\sqrt{3}\)+\(2\sqrt{5}\)+\(\sqrt{15}\)
Q10) \(2 ( 5 + \sqrt { 10 } )= \) \(10 + \) \(2\sqrt{10}\)
Q10) \( \sqrt { 2 } ( 4 + \sqrt { 6 } )= \) \(4\sqrt{2}\) + \(2\sqrt{3}\)
Q10) \((4 + \sqrt3)(2+ \sqrt3 ) \) 11+\(6\sqrt{3}\)