If \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}} \) and \(b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}},\) the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)\) is ?
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1
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The least perfect square number divisible by 3, 4, 5, 6 and 8 is = ?
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2
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If
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3
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\(\sqrt {\sqrt {17956} + \sqrt {24025} } = ?\)
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4
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The value of \(\frac{{1 + \sqrt {0.01} }}{{1 - \sqrt {0.1} }}\) is close to = ?
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5
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Given \(\sqrt 5 = 2.2361, \sqrt 3 = 1.7321{ \text{,}} then \frac{1}{{\sqrt 5 - \sqrt 3 }}\) is equal to ?
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6
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The value of \({ \text{ }} \root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} \) is ?
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7
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The smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?
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8
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\(\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right) \) simplifies to = ?
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9
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The square root of \(\frac{{{{\left( {0.75} \right)}^3}}}{{1 - 0.75}} { \text{ + }}\left[ {0.75 + {{\left( {0.75} \right)}^2} + 1} \right]\) is = ?
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10
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What is the least number which should be subtracted 0.000326 in order to make it a perfect square = ?
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