Q1) \(5 ( 3 + \sqrt { 5 } )= \) [ \(15 + \) \(5\sqrt{5}\)]
Q1) \( \sqrt { 4 } ( 4 + \sqrt { 13 } )= \) [ \(8\) + \(2\sqrt{13}\) ]
Q1) \((4 + \sqrt6)(3+ \sqrt2 ) \) [ 12+\(4\sqrt{2}\)+\(3\sqrt{6}\)+\(2\sqrt{3}\)]
Q2) \(5 ( 1 + \sqrt { 5 } )= \) [ \(5 + \) \(5\sqrt{5}\)]
Q2) \( \sqrt { 5 } ( 3 + \sqrt { 2 } )= \) [ \(3\sqrt{5}\) + \(\sqrt{10}\) ]
Q2) \((3 + \sqrt15)(5+ \sqrt7 ) \) [ 15+\(3\sqrt{7}\)+\(5\sqrt{15}\)+\(\sqrt{105}\)]
Q3) \(2 ( 4 + \sqrt { 8 } )= \) [ \(8 + \) \(4\sqrt{2}\)]
Q3) \( \sqrt { 2 } ( 2 + \sqrt { 3 } )= \) [ \(2\sqrt{2}\) + \(\sqrt{6}\) ]
Q3) \((4 + \sqrt2)(1+ \sqrt3 ) \) [ 4+\(4\sqrt{3}\)+\(\sqrt{2}\)+\(\sqrt{6}\)]
Q4) \(4 ( 5 + \sqrt { 14 } )= \) [ \(20 + \) \(4\sqrt{14}\)]
Q4) \( \sqrt { 4 } ( 1 + \sqrt { 2 } )= \) [ \(2\) + \(2\sqrt{2}\) ]
Q4) \((5 + \sqrt12)(5+ \sqrt7 ) \) [ 25+\(5\sqrt{7}\)+\(10\sqrt{3}\)+\(2\sqrt{21}\)]
Q5) \(5 ( 3 + \sqrt { 6 } )= \) [ \(15 + \) \(5\sqrt{6}\)]
Q5) \( \sqrt { 3 } ( 2 + \sqrt { 5 } )= \) [ \(2\sqrt{3}\) + \(\sqrt{15}\) ]
Q5) \((2 + \sqrt8)(5+ \sqrt8 ) \) [ 18+\(14\sqrt{2}\)]
Q6) \(4 ( 4 + \sqrt { 15 } )= \) [ \(16 + \) \(4\sqrt{15}\)]
Q6) \( \sqrt { 3 } ( 5 + \sqrt { 5 } )= \) [ \(5\sqrt{3}\) + \(\sqrt{15}\) ]
Q6) \((2 + \sqrt3)(3+ \sqrt3 ) \) [ 9+\(5\sqrt{3}\)]
Q7) \(3 ( 3 + \sqrt { 5 } )= \) [ \(9 + \) \(3\sqrt{5}\)]
Q7) \( \sqrt { 3 } ( 5 + \sqrt { 6 } )= \) [ \(5\sqrt{3}\) + \(3\sqrt{2}\) ]
Q7) \((3 + \sqrt3)(1+ \sqrt3 ) \) [ 6+\(4\sqrt{3}\)]
Q8) \(4 ( 2 + \sqrt { 5 } )= \) [ \(8 + \) \(4\sqrt{5}\)]
Q8) \( \sqrt { 4 } ( 3 + \sqrt { 3 } )= \) [ \(6\) + \(2\sqrt{3}\) ]
Q8) \((4 + \sqrt11)(5+ \sqrt3 ) \) [ 20+\(4\sqrt{3}\)+\(5\sqrt{11}\)+\(\sqrt{33}\)]
Q9) \(4 ( 5 + \sqrt { 13 } )= \) [ \(20 + \) \(4\sqrt{13}\)]
Q9) \( \sqrt { 2 } ( 1 + \sqrt { 2 } )= \) [ \(\sqrt{2}\) + \(2\) ]
Q9) \((4 + \sqrt2)(1+ \sqrt2 ) \) [ 6+\(5\sqrt{2}\)]
Q10) \(3 ( 1 + \sqrt { 2 } )= \) [ \(3 + \) \(3\sqrt{2}\)]
Q10) \( \sqrt { 4 } ( 5 + \sqrt { 14 } )= \) [ \(10\) + \(2\sqrt{14}\) ]
Q10) \((5 + \sqrt3)(2+ \sqrt10 ) \) [ 10+\(5\sqrt{10}\)+\(2\sqrt{3}\)+\(\sqrt{30}\)]