Question

Упростить выражение √(7-5√2)2 -√(5√2-6)2

Answer 1

$sqrt{(7-5 sqrt{2})^2}- sqrt{(5 sqrt{2}-6)^2}=\\=|7-5 sqrt{2}|-|5 sqrt{2}-6|=\\=-(7-5 sqrt{2})-(5 sqrt{2}-6)=\\=-7+5 sqrt{2}-5 sqrt{2}+6=-1$