Question

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

Answer 1

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