GROUP-A (a) Prove that 5 is not a r...
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GROUP-A (a) Prove that 5 is not a rational number. *2. uence {x},

11th - 12th Class
Maths
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91
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bet ( sqrt{2} ) rational [ begin{array}{c} operatorname{sos} sqrt{2}=frac{a}{b} a=sqrt{2} b a^{2}=2 b^{2} end{array} ] Hona 2 is factos of ( a^{2} ) ( S_{0} ) 2 is also factos of a 2 ( frac{3+4}{2^{2}} ) side So, let ( a=2 c ) as kes a has 2 factos. [ begin{aligned} operatorname{Moc} 2 &=frac{a^{2}}{b^{2}} 2 &=frac{4 c^{2}}{b^{2}} b^{2} &=2 c^{2} operatorname{sos} & b^{2}=text { has } 2 text { as factor } end{aligned} ] So, b also has 2 factos Fhus ( a, b ) has 2 common factor hemee ( frac{a}{b} ) is not rational. Flemce ( sqrt{2} ) is livational.
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