Question

Решите пожалуйста )))))))

Answer 1

По формуле √а² = |а|

√( 7 + 5√2 )² + √( 7 - 5√2)² = |7 + 5√2| + |7 - 5√2| = 7 + 5√2 - ( 7 - 5√2 ) = 7 + 5√2 - 7 + 5√2 = 10√2

Ответ: 10√2

Answer 2

$sqrt{(7+5sqrt{2})^2} +sqrt{(7-5sqrt{2})^2} =|7+5sqrt{2}|+ |7-5sqrt{2}|=\\=sqrt{49}+sqrt{50} +|sqrt{49} -sqrt{50} |= sqrt{49}+sqrt{50}+sqrt{50}-sqrt{49}=\\=2sqrt{50} =10sqrt{2}$