If \(x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}} \) \(y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}\)and then the value of \(\left( {{x^2} + {y^2}} \right)\) is?
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A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:
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\(\left( {\frac{{\sqrt {625} }}{{11}} \times \frac{{14}}{{\sqrt {25} }} \times \frac{{11}}{{\sqrt {196} }}} \right){\kern 1pt} \) is equal to :
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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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For what value of * the statement
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The digit in the units place in the square root of 15876 is
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The least number of 4 digits which is a perfect square is = ?
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7
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While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?
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Given that \(\sqrt 3 = 1.732{ \text{,}} \) the value of \(\frac{{3 + \sqrt 6 }}{{5\sqrt 3 - 2\sqrt {12} - \sqrt {32} + \sqrt {50} }}\) is ?
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Given that \(\sqrt {13} = 3.605\) and \(\sqrt {130} = 11.40\) . find the value of \(\sqrt {1.30} \) + \(\sqrt {1300}\) + \(\sqrt {0.0130} \) = ?
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\(\frac{1}{{\left( {\sqrt 9 - \sqrt 8 } \right)}} - \frac{1}{{\left( {\sqrt 8 - \sqrt 7 } \right)}} + \frac{1}{{\left( {\sqrt 7 - \sqrt 6 } \right)}} - \frac{1}{{\left( {\sqrt 6 - \sqrt 5 } \right)}} + \frac{1}{{\left( {\sqrt 5 - \sqrt 4 } \right)}}\) is equal to ?
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