Ôn tập chương I
Hướng dẫn giải Bài 71 (Trang 40 SGK Toán 9, Tập 1)
<p><strong>Bài 71 (Trang 40 SGK Toán 9, Tập 1):</strong></p>
<p>Rút gọn các biểu thức sau:</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">a</mi><mo>)</mo><mo> </mo><mfenced><mrow><msqrt><mn>8</mn></msqrt><mo>-</mo><mn>3</mn><msqrt><mn>2</mn></msqrt><mo> </mo><mo>+</mo><msqrt><mn>10</mn></msqrt></mrow></mfenced><msqrt><mn>2</mn></msqrt><mo>-</mo><msqrt><mn>5</mn></msqrt><mo>;</mo></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">b</mi><mo>)</mo><mo> </mo><mn>0</mn><mo>,</mo><mn>2</mn><msqrt><msup><mfenced><mrow><mo>-</mo><mn>10</mn></mrow></mfenced><mn>2</mn></msup><mo>.</mo><mn>3</mn></msqrt><mo> </mo><mo>+</mo><mn>2</mn><msqrt><msup><mfenced><mrow><msqrt><mn>3</mn></msqrt><mo>-</mo><msqrt><mn>5</mn></msqrt></mrow></mfenced><mn>2</mn></msup></msqrt><mo>;</mo></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">c</mi><mo>)</mo><mo> </mo><mfenced><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>.</mo><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo> </mo><mo>-</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><msqrt><mn>2</mn></msqrt><mo>+</mo><mfrac><mn>4</mn><mn>5</mn></mfrac><msqrt><mn>200</mn></msqrt></mrow></mfenced><mo>:</mo><mfrac><mn>1</mn><mn>8</mn></mfrac><mo>;</mo></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">d</mi><mo>)</mo><mo> </mo><msqrt><msup><mfenced><mrow><msqrt><mn>2</mn></msqrt><mo>-</mo><mn>3</mn></mrow></mfenced><mn>2</mn></msup></msqrt><mo> </mo><mo>+</mo><msqrt><mn>2</mn><mo>.</mo><msup><mfenced><mrow><mo>-</mo><mn>3</mn></mrow></mfenced><mn>2</mn></msup></msqrt><mo> </mo><mo>-</mo><mn>5</mn><msqrt><msup><mfenced><mrow><mo>-</mo><mn>1</mn></mrow></mfenced><mn>4</mn></msup></msqrt><mo>.</mo></math></p>
<p> </p>
<p><strong><span style="text-decoration: underline;"><em>Hướng dẫn giải:</em></span></strong></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">a</mi><mo>)</mo><mo> </mo><mfenced><mrow><msqrt><mn>8</mn></msqrt><mo>-</mo><mn>3</mn><msqrt><mn>2</mn></msqrt><mo>+</mo><msqrt><mn>10</mn></msqrt></mrow></mfenced><msqrt><mn>2</mn></msqrt><mo>-</mo><msqrt><mn>5</mn></msqrt><mo> </mo><mo>=</mo><mo> </mo><mfenced><mrow><msqrt><msup><mn>2</mn><mn>2</mn></msup><mo>.</mo><mn>2</mn></msqrt><mo>-</mo><mn>3</mn><msqrt><mn>2</mn></msqrt><mo>+</mo><msqrt><mn>10</mn></msqrt></mrow></mfenced><msqrt><mn>2</mn></msqrt><mo>-</mo><mo> </mo><msqrt><mn>5</mn></msqrt><mspace linebreak="newline"/><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mfenced><mrow><mn>2</mn><msqrt><mn>2</mn></msqrt><mo> </mo><mo>-</mo><mo> </mo><mn>3</mn><msqrt><mn>2</mn></msqrt><mo> </mo><mo>+</mo><mo> </mo><msqrt><mn>10</mn></msqrt></mrow></mfenced><msqrt><mn>2</mn></msqrt><mo> </mo><mo>-</mo><mo> </mo><msqrt><mn>5</mn></msqrt><mspace linebreak="newline"/><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mn>2</mn><mo>.</mo><msup><mfenced><msqrt><mn>2</mn></msqrt></mfenced><mn>2</mn></msup><mo> </mo><mo>-</mo><mo> </mo><mo> </mo><mn>3</mn><msup><mfenced><msqrt><mn>2</mn></msqrt></mfenced><mn>2</mn></msup><mo> </mo><mo>+</mo><mo> </mo><msqrt><mn>10</mn></msqrt><mo>.</mo><msqrt><mn>2</mn></msqrt><mo> </mo><mo>-</mo><mo> </mo><msqrt><mn>5</mn></msqrt><mo> </mo><mo>=</mo><mo> </mo><mn>4</mn><mo> </mo><mo>-</mo><mo> </mo><mn>6</mn><mo> </mo><mo>+</mo><mo> </mo><msqrt><mn>20</mn></msqrt><mo> </mo><mo>-</mo><msqrt><mn>5</mn></msqrt><mo> </mo><mo>=</mo><mo> </mo><mo>-</mo><mn>2</mn><mo>+</mo><msqrt><mn>4</mn><mo>.</mo><mn>5</mn></msqrt><mo>-</mo><msqrt><mn>5</mn><mo> </mo></msqrt><mo>=</mo><mo> </mo><mo>-</mo><mn>2</mn><mo> </mo><mo>+</mo><mo> </mo><mn>2</mn><msqrt><mn>5</mn></msqrt><mo> </mo><mo>-</mo><msqrt><mn>5</mn></msqrt><mspace linebreak="newline"/><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mo>-</mo><mn>2</mn><mo> </mo><mo>+</mo><mo> </mo><msqrt><mn>5</mn></msqrt><mo>.</mo></math></p>
<p> </p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">b</mi><mo>)</mo><mo> </mo><mn>0</mn><mo>,</mo><mn>2</mn><msqrt><mfenced><mrow><msup><mfenced><mrow><mo>-</mo><mn>10</mn></mrow></mfenced><mn>2</mn></msup><mo>.</mo><mn>3</mn></mrow></mfenced></msqrt><mo> </mo><mo>+</mo><mo> </mo><mn>2</mn><msqrt><msup><mfenced><mrow><msqrt><mn>3</mn></msqrt><mo> </mo><mo>-</mo><mo> </mo><msqrt><mn>5</mn></msqrt></mrow></mfenced><mn>2</mn></msup></msqrt><mspace linebreak="newline"/><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>.</mo><mn>10</mn><msqrt><mn>3</mn></msqrt><mo> </mo><mo>+</mo><mo> </mo><mn>2</mn><mfenced open="|" close="|"><mrow><msqrt><mn>3</mn></msqrt><mo> </mo><mo>-</mo><mo> </mo><msqrt><mn>5</mn></msqrt></mrow></mfenced><mspace linebreak="newline"/><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mn>2</mn><msqrt><mn>3</mn></msqrt><mo> </mo><mo>+</mo><mo> </mo><mn>2</mn><mfenced><mrow><msqrt><mn>5</mn></msqrt><mo> </mo><mo>-</mo><mo> </mo><msqrt><mn>3</mn></msqrt></mrow></mfenced><mspace linebreak="newline"/><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mn>2</mn><msqrt><mn>3</mn></msqrt><mo> </mo><mo>+</mo><mo> </mo><mn>2</mn><msqrt><mn>5</mn></msqrt><mo> </mo><mo>-</mo><mo> </mo><mn>2</mn><msqrt><mn>3</mn></msqrt><mspace linebreak="newline"/><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mn>2</mn><msqrt><mn>5</mn></msqrt></math></p>
<p> </p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">c</mi><mo>)</mo><mo> </mo><mfenced><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>.</mo><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo>-</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><msqrt><mn>2</mn></msqrt><mo>+</mo><mfrac><mn>4</mn><mn>5</mn></mfrac><msqrt><mn>200</mn></msqrt></mrow></mfenced><mo>:</mo><mfrac><mn>1</mn><mn>8</mn></mfrac><mo> </mo><mo>=</mo><mo> </mo><mfenced><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>.</mo><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo>-</mo><mn>3</mn><msqrt><mfrac><mn>2</mn><msup><mn>2</mn><mn>2</mn></msup></mfrac></msqrt><mo>+</mo><mo> </mo><mfrac><mn>4</mn><mn>5</mn></mfrac><msqrt><mfrac><mn>400</mn><mn>2</mn></mfrac></msqrt></mrow></mfenced><mo>:</mo><mfrac><mn>1</mn><mn>8</mn></mfrac><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mfenced><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>.</mo><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo>-</mo><mo> </mo><mn>3</mn><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo>+</mo><mfrac><mn>4</mn><mn>5</mn></mfrac><mo>.</mo><mn>20</mn><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt></mrow></mfenced><mo>:</mo><mfrac><mn>1</mn><mn>8</mn></mfrac><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mfenced><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>.</mo><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo>-</mo><mn>3</mn><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo>+</mo><mn>16</mn><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt></mrow></mfenced><mo>.</mo><mn>8</mn><mo> </mo><mo>=</mo><mo> </mo><mo> </mo><mfrac><mn>27</mn><mn>2</mn></mfrac><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo>.</mo><mn>8</mn><mo>=</mo><mo> </mo><mn>27</mn><mo>.</mo><mn>4</mn><msqrt><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo> </mo><mo>=</mo><mo> </mo><mn>27</mn><mo>.</mo><mn>2</mn><msqrt><msup><mn>2</mn><mn>2</mn></msup><mfrac><mn>1</mn><mn>2</mn></mfrac></msqrt><mo> </mo><mo>=</mo><mn>54</mn><msqrt><mn>2</mn></msqrt></math></p>
<p> </p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>)</mo><mo> </mo><mn>2</mn><msqrt><msup><mfenced><mrow><msqrt><mn>2</mn></msqrt><mo>-</mo><mn>3</mn></mrow></mfenced><mn>2</mn></msup></msqrt><mo> </mo><mo>+</mo><msqrt><mn>2</mn><msup><mfenced><mrow><mo>-</mo><mn>3</mn></mrow></mfenced><mn>2</mn></msup></msqrt><mo> </mo><mo>-</mo><mn>5</mn><msqrt><msup><mfenced><mrow><mo>-</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup></msqrt><mspace linebreak="newline"/><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mn>2</mn><mfenced open="|" close="|"><mrow><msqrt><mn>2</mn></msqrt><mo> </mo><mo>-</mo><mn>3</mn></mrow></mfenced><mo>+</mo><mn>3</mn><msqrt><mn>2</mn></msqrt><mo> </mo><mo>-</mo><mn>5</mn><msqrt><mn>1</mn></msqrt><mo> </mo><mo>=</mo><mn>2</mn><mfenced><mrow><mn>3</mn><mo>-</mo><msqrt><mn>2</mn></msqrt></mrow></mfenced><mo>+</mo><mo> </mo><mn>3</mn><msqrt><mn>2</mn></msqrt><mo>-</mo><mn>5</mn><mspace linebreak="newline"/><mspace linebreak="newline"/><mo> </mo><mo>=</mo><mo> </mo><mn>6</mn><mo> </mo><mo>-</mo><mo> </mo><mn>2</mn><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>3</mn><msqrt><mn>2</mn></msqrt><mo>-</mo><mn>5</mn><mo> </mo><mo>=</mo><mn>1</mn><mo>+</mo><msqrt><mn>2</mn></msqrt></math></p>
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Hướng dẫn Giải Bài 71 (trang 40, SGK Toán 9, Tập 1)
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GV colearn
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