Question

Вычислите , пожалуйста

Answer 1

Ответ:

$(5 - 2 \sqrt{6} )( { \sqrt{3} + \sqrt{2}) }^{2} = \\ = (5 - 2 \sqrt{6} )(( \sqrt{3})^{2} + 2 \sqrt{3} \sqrt{2} + ( { \sqrt{2} )}^{2} ) = \\ = (5 - 2 \sqrt{6} )(5 + 2 \sqrt{6} ) = \\ = {5}^{2} - (2 \sqrt{6})^{2} = 25 - 24 = 1$