Question

sqrt(4-2 sqrt(2))*(6+4 sqrt(2))^(1\/4)
решите пожалуйста

Answer 1

$\sqrt{4-2 \sqrt{2} } * \sqrt[4]{6+4 \sqrt{2} } = \sqrt{4-2 \sqrt{2} } * \sqrt[4]{(2+ \sqrt{2})^2 } =$$\sqrt{4-2 \sqrt{2} } * \sqrt{2+ \sqrt{2} } = \sqrt{2(2- \sqrt{2})(2+ \sqrt{2}) }= \sqrt{2*(2^2-( \sqrt{2} )^2}=$$\sqrt{4} =2$