If \(x = \sqrt 3 { \text{ + }}\sqrt 2 { \text{,}} \) then the value of \({x^3} - \frac{1}{{{x^3}}}\) is?
\(10\sqrt 2 \)
\(14\sqrt 2\)
\(22\sqrt 2\)
\(8\sqrt 2\)
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1
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Simplify : \(1 + {2 \over {1 + {3 \over {1 + {4 \over 5}}}}}\)
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2
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The value of \(\frac{{25 - 5\left[ {2 + 3\left\{ {2 - 2\left( {5 - 3} \right) + 5} \right\} - 10} \right]}}{4} = ?\)
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3
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If \(\root 3 \of {{3^n}} { \text{ = 27,}}\) then the value of n is = ?
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4
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52 + 132 – 112 = (?)3 – 52
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5
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If \(\left( {x + \frac{1}{x}} \right){ \text{ = 2,}}\) then \(\left( {x - \frac{1}{x}} \right)\) is equal to = ?
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6
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\(\frac{{225}}{{836}} \times \frac{{152}}{{245}} \div 1\frac{{43}}{{77}} = ?\)
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7
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\(\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}\) is equal to = ?
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8
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Let a = (4 ÷ 3) ÷ 3 ÷ 4, b = 4 ÷ (3 ÷ 3) ÷ 4, c = 4 ÷ 3 ÷ (3 ÷ 4), The maximum value among the above three is?
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9
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The value of \(\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{ \text{ + }}\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} +\frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}\) is = ?
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10
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(4/9) × 1701 + (2/11) × 1386 = ?
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