Giải giúp mình vs ạ mình cảm ơn Question Giải giúp mình vs ạ mình cảm ơn in progress 0 Môn Toán Hưng Khoa 4 years 2020-10-13T16:12:00+00:00 2020-10-13T16:12:00+00:00 1 Answers 91 views 0
Answers ( )
Đáp án:
$\begin{array}{l}
B1)a)2\sqrt {48} – 4\sqrt {27} + \sqrt {75} + \sqrt {12} \\
= 2.\sqrt {16.3} – 4.\sqrt {9.3} + \sqrt {25.3} + \sqrt {4.3} \\
= 2.4\sqrt 3 – 4.3\sqrt 3 + 5\sqrt 3 + 2\sqrt 3 \\
= 8\sqrt 3 – 12\sqrt 3 + 5\sqrt 3 + 2\sqrt 3 \\
= 3\sqrt 3 \\
b)\sqrt {{{\left( {3 – \sqrt 5 } \right)}^2}} – \sqrt {20} \\
= 3 – \sqrt 5 – 2\sqrt 5 \\
= 3 – 3\sqrt 5 \\
B2)\\
a)Dkxd:x \ge 0\\
\sqrt {45x} – 2\sqrt {20x} + 2\sqrt {80x} = 21\\
\Rightarrow 3\sqrt {5x} – 2.2\sqrt {5x} + 2.4\sqrt {5x} = 21\\
\Rightarrow 7\sqrt {5x} = 21\\
\Rightarrow \sqrt {5x} = 3\\
\Rightarrow 5x = 9\\
\Rightarrow x = \frac{9}{5}\left( {tmdk} \right)\\
Vay\,x = \frac{9}{5}\\
b)\sqrt {{x^2} – 10x + 25} = 4\\
\Rightarrow \sqrt {{{\left( {x – 5} \right)}^2}} = 4\\
\Rightarrow \left[ \begin{array}{l}
x – 5 = 4\\
x – 5 = – 4
\end{array} \right.\\
\Rightarrow \left[ \begin{array}{l}
x = 9\\
x = 1
\end{array} \right.\\
Vay\,x = 1\,hoac\,x = 9
\end{array}$