Hãy tính: \(2\sqrt {{{\left( {\sqrt 2 - 3} \right)}^2}} + \sqrt {2{{\left( { - 3} \right)}^2}} - 5\sqrt {{{\left( { - 1} \right)}^4}}\)

* Hướng dẫn giải

 \(2\sqrt {{{\left( {\sqrt 2 - 3} \right)}^2}} + \sqrt {2{{\left( { - 3} \right)}^2}} - 5\sqrt {{{\left( { - 1} \right)}^4}}\)

\(= 2\left| {\sqrt 2 - 3} \right| + \left| { - 3} \right|\sqrt 2 - 5\left| {{{\left( { - 1} \right)}^2}} \right|\)

\(= 2\left( {3 - \sqrt 2 } \right) + 3\sqrt 2 - 5\)

\( = 6 - 2\sqrt 2 + 3\sqrt 2 - 5\)

\( =\sqrt 2 + 1\)