8/√2= 8√2/(√2*√2)= 8√2/2= 4√2
42/5√7= 42/√175= 42√175/(√175*√175)= 42√175/175= 6√7/5
14/(√17+√3)= 14(√17-√3)/(√17+√3)(√17-√3)= 14(√17-√3)/(17-3)= √17-√3
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8/√2= 8√2/(√2*√2)= 8√2/2= 4√2
42/5√7= 42/√175= 42√175/(√175*√175)= 42√175/175= 6√7/5
14/(√17+√3)= 14(√17-√3)/(√17+√3)(√17-√3)= 14(√17-√3)/(17-3)= √17-√3