Выполни задание

Пользуясь тем, что \(3,3\lt \sqrt{11} \lt 3,4\) и \(2,6\lt \sqrt{7} \lt 2,7\) , оцени значение выражения:

а) \(\sqrt{11}+\sqrt{7}\) ;

б) \(\sqrt{11}-\sqrt{7}\) ;

в) \(3\sqrt{11}-2\sqrt{7}\) ;

г) \(\sqrt{44}+\sqrt{63}\) .

Решение:

а) [ ] \(+\) [ ] \(\lt \sqrt{11} + \sqrt{7} \lt\) [ ] \(+\) [ ],

[ ] \(\lt \sqrt{11} + \sqrt{7} \lt\) [ ];

б) [ ] \(+\) [ ] \(\lt \sqrt{11} - \sqrt{7} \lt\) [ ] \(-\) [ ],

[ ] \(\lt \sqrt{11} - \sqrt{7} \lt\) [ ];

в) [ ] \(\lt 3\sqrt{11} \lt\) [ ]

[ ] \(\lt 2\sqrt{7} \lt\) [ ]

[ ] \(\lt 3\sqrt{11} - 2\sqrt{7} \lt\) [ ];

г) \(\sqrt{44} + \sqrt{63} =\) [ ] \(\sqrt{11} +\) [ ] \(\sqrt{7}\)

[ ] \(\lt\) [ ] \(\sqrt{11} \lt\) [ ],

[ ] \(\lt\) [ ] \(\sqrt{7} \lt\) [ ],

[ ] \(\lt\) [ ] \(\sqrt{11} + \) [ ] \(\sqrt{7} \lt\) [ ].