On simplification the value of \({ \text{1}} - \frac{1}{{1 + \sqrt 2 }}{ \text{ + }} \frac{1}{{1 - \sqrt 2 }}\) is = ?
\(2\sqrt 2 - 1\)
\(1 - 2\sqrt 2 \)
\(1 - \sqrt 2 \)
\( - 2\sqrt 2 \)
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A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
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Evaluated : \({{9\left| {3 - 5} \right| - 5\left| 4 \right| \div 10} \over { - 3\left( 5 \right) - 2 \times 4 \div 2}}\)
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3
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The sum of \(\sqrt {0.01} + \sqrt {0.81} + \sqrt {1.21} + \sqrt {0.0009} = ?\)
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4
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(? - 968) / 79 * 4 = 512
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5
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Simplify : \(1 + {2 \over {1 + {3 \over {1 + {4 \over 5}}}}}\)
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6
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The expression \(\frac{1}{{x - 1}} - \frac{1}{{x + 1}} - \frac{2}{{{x^2} + 1}} - \frac{4}{{{x^4} + 1}}\) is equal to = ?
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7
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The Value of (\(\sqrt {6} + \sqrt {10} - \sqrt {21} - \sqrt {35}) × (\sqrt {6} - \sqrt {10} + \sqrt {21} - \sqrt {35}\)) = ?
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8
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\(\left( {x + \frac{1}{x}} \right)\left( {x - \frac{1}{x}} \right)\left( {{x^2} + \frac{1}{{{x^2}}} - 1} \right)\left( {{x^2} + \frac{1}{{{x^2}}} + 1} \right)\) is equal to ?
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9
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Simplify : \({ \text{10}}\frac{1}{8}{ \text{ of }}\frac{{12}}{{15}} \div \frac{{35}}{{36}}{ \text{ of }}\frac{{20}}{{49}}\)
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10
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Simplify : \(\frac{{\frac{5}{3} \times \frac{7}{{51}}{ \text{ of }}\frac{17}{5} - \frac{1}{3}}}{{\frac{2}{9} \times \frac{5}{7}{ \text{ of }}\frac{{28}}{5} - \frac{2}{3}}}{\kern 1pt} {\kern 1pt} = ?\)
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