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Find any rational no. A and b such thatthat. √2-1/√2+1=a+b√2

Answer» {tex}\\frac{ \\sqrt{2} - 1}{ \\sqrt{2} + 1} = a + b \\sqrt{2} \\\\ \\frac{ \\sqrt{2} - 1 }{ \\sqrt{2} + 1} \\times \\frac{ \\sqrt{2 } - 1}{ \\sqrt{2 } - 1} = a + b \\sqrt{2} \\\\ \\frac{ {( \\sqrt{2} - 1) }^{2} }{2 - 1} = a + b \\sqrt{2} \\\\ 2 + 1 - 2 \\sqrt{2} = a + b \\sqrt{2} \\\\ 3 - 2 \\sqrt{2} = a + b \\sqrt{2} \\\\ a = 3 \\: and \\: b = - 2{/tex}


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