Question

упростите выражение , пж СОЧ . ( 3 + √8 ) ( 5 + √2 )​

Answer 1

Ответ:

$19+13\sqrt{2}$

Объяснение:

$(3+\sqrt{8})(5+\sqrt{2)} =(3+\sqrt{4*2})(5+\sqrt{2)} =(3+\sqrt{4}*\sqrt{2} )(5+\sqrt{2)} =\\\\=(3+2\sqrt{2} )(5+\sqrt{2)} =3*5+3\sqrt{2}+2\sqrt{2} *5+2\sqrt{2} *\sqrt{2} =15+3\sqrt{2}+10\sqrt{2}+2(\sqrt{2} )^2=\\\\=15+(3\sqrt{2}+10\sqrt{2})+2*2=15+13\sqrt{2} +4=19+13\sqrt{2}$