Đáp án:
\(\begin{array}{l}
A = 1\\
B = 0\\
C = 0\\
D = 6\sqrt 2 \\
E = 5\\
F = 7\\
G = 2\\
H = 1
\end{array}\)
Giải thích các bước giải:
\(\begin{array}{l}
A = 5\sqrt 2 - 3.2\sqrt 2 + \sqrt 2 + 1\\
= 1\\
B = 3\sqrt 5 + 2\sqrt 5 - \sqrt 5 \\
= 0\\
C = 3\sqrt 3 - 7.3\sqrt 3 + 2.9\sqrt 3 \\
= \left( {3 - 21 + 18} \right)\sqrt 3 = 0\\
D = 3\sqrt 2 + 2.2.\sqrt 2 - \dfrac{1}{5}.5\sqrt 2 \\
= \left( {3 + 4 - 1} \right)\sqrt 2 \\
= 6\sqrt 2 \\
E = 5 - 3\sqrt 5 + 3\sqrt 2 = 5\\
F = \dfrac{{2\left( {2 + \sqrt 3 } \right)}}{{4 - 3}} - 2\sqrt 3 + 3\\
= 4 + 2\sqrt 3 - 2\sqrt 3 + 3\\
= 7\\
G = \dfrac{{\sqrt 3 \left( {1 - \sqrt 2 } \right)}}{{1 - \sqrt 2 }} + \left| {2 - \sqrt 3 } \right|\\
= \sqrt 3 + 2 - \sqrt 3 = 2\\
H = \dfrac{{\sqrt 2 \left( {\sqrt 5 - \sqrt 3 } \right)}}{{\sqrt 5 - \sqrt 3 }} - \dfrac{{\sqrt 2 - 1}}{{2 - 1}}\\
= \sqrt 2 - \sqrt 2 + 1 = 1
\end{array}\)
