If \(a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }}, b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}\) then the value of \({a^2} + {b^2}\) would be = ?
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1
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\(\sqrt {176 + \sqrt {2401} } \) is equal to = ?
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2
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If \(\sqrt {33} = 5.745{ \text{}}\) then which of the following values is approximately \(\sqrt {\frac{3}{{11}}} { \text{ ?}}\)
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3
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Which number should replace both the question marks in the following equation ?/1776=111/?
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4
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Determined the value of \(\frac{1}{{\sqrt 1 + \sqrt 2 }}{ \text{ + }} \frac{1}{{\sqrt 2 + \sqrt 3 }} + \frac{1}{{\sqrt 3 + \sqrt 4 }} + ...... + \frac{1}{{\sqrt {120} + \sqrt {121} }}{ \text{ = ?}}\)
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5
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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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6
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A man born in the first half of the nineteenth century was x years old in the year x2. He was born in ?
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7
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\(\sqrt {0.0169 \times ?} = 1.3\)
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8
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If a = 0.1039, then the value of \(\sqrt {4{a^2} - 4a + 1} + 3a\) is:
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9
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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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10
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What is \(\frac{{5 + \sqrt {10} }}{{5\sqrt 5 - 2\sqrt {20} - \sqrt {32} + \sqrt {50} }}\) equal to ?
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