Question

помогите пожалуйста ................

Answer 1

$57 + 10 \sqrt{14}$

Ответ:

$( \sqrt{7} + 5 \sqrt{2} ) {}^{2} = ( \sqrt{7} ) {}^{2} + 10 \sqrt{7} \sqrt{2} + 25( \sqrt{2} ) \sqrt{ 2} = 7 + 10 \sqrt{7} \sqrt{2 } + 25( \sqrt{2} ) {}^{2} = 7 + 10 \sqrt{14} + 25( \sqrt{2} ) {}^{2} = 7 + 10 \sqrt{14} + 25 \times 2 = 7 + 10 \sqrt{14} + 50 = 57 + 10 \sqrt{14}$

Answer 2

$\displaystyle (\sqrt{7}+5\sqrt{2})^2=7+10\sqrt{14}+50=57+10\sqrt{14}$