Question

помогиите 17/1+v50-2v2 нужно избавиться от иррац.​

Answer 1

$frac{17}{1+sqrt{50}-2sqrt{2}}=frac{17}{1+sqrt{25*2}-2sqrt{2}}=frac{17}{1+5sqrt{2} -2sqrt{2} }=frac{17}{1+3sqrt{2} }=frac{17*(1-3sqrt{2})}{(1+3sqrt{2})(1-3sqrt{2})} =frac{17(1-3sqrt{2})}{1^{2}-(3sqrt{2})^{2}}=frac{17(1-3sqrt{2})}{1-18}=frac{17(1-3sqrt{2}) }{-17}=3sqrt{2}-1$