Question

Aratati ca numarul x=√9+4√2+√(3-√2)²-√3-2√2natural

Answer 1

$\sqrt{9+4 \sqrt{2} }+ \sqrt{(3- \sqrt{2})^2 } - \sqrt{3-2 \sqrt{2} } = \\ = \sqrt{(1+2 \sqrt{2} )^2}+3- \sqrt{2}- \sqrt{( \sqrt{2}-1)^2 } =1+2 \sqrt{2} }+3- \sqrt{2}- \\ - \sqrt{2}+1=5$