Rút gọn các biểu thức sau
\(\begin{array}{l}
a)\sqrt {{{\left( {4 + \sqrt 2 } \right)}^2}} \\
b)\sqrt {{{\left( {3 - \sqrt 3 } \right)}^2}} \\
c)\sqrt {{{\left( {4 - \sqrt {17} } \right)}^2}} \\
d)2\sqrt 3 + \sqrt {{{\left( {2 - \sqrt 3 } \right)}^2}}
\end{array}\)
\(\begin{array}{l}
a)\sqrt {{{\left( {4 + \sqrt 2 } \right)}^2}} = |4 + \sqrt 2 | = 4 + \sqrt 2 \\
b)\sqrt {{{\left( {3 - \sqrt 3 } \right)}^2}} = |3 - \sqrt 3 | = 3 - \sqrt 3 \\
c)\sqrt {{{\left( {4 - \sqrt {17} } \right)}^2}} = |4 - \sqrt {17} | = \sqrt {17} - 4\\
d)2\sqrt 3 + \sqrt {{{\left( {2 - \sqrt 3 } \right)}^2}} = 2\sqrt 3 + |2 - \sqrt 3 |\\
= 2\sqrt 3 + 2 - \sqrt 3 = \sqrt 3 + 2
\end{array}\)
-- Mod Toán 9
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