Question

решите пример пожалуйста

Answer 1

$\frac{17+12 \sqrt{2} }{2 \sqrt{2}+3 } -2 \sqrt{2} = \frac{17+12 \sqrt{2}-2 \sqrt{2}(2\sqrt{2}+3 ) }{2 \sqrt{2}+3 }= \frac{17+12 \sqrt{2} -8-6 \sqrt{2} }{2 \sqrt{2}+3 } = \frac{9+6 \sqrt{2} }{2 \sqrt{2}+3 }$$= \frac{3(3+2 \sqrt{2}) }{3+2 \sqrt{2}} =3$