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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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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2
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Simplify : \(\sqrt {3 + \frac{{33}}{{64}}} \div \sqrt {9 + \frac{1}{7}} \times 2\sqrt {3\frac{1}{9}}\) = ?
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3
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Simplify : \({{{5 \over 3} \times {7 \over {51}}{ \text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{ \text{ of }}{{28} \over 5} - {2 \over 3}}}\)
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4
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Find the value of \(\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?\)
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5
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Find the value of \(\sqrt {4 + \sqrt {44 + \sqrt {10000} } } \)
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6
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The greatest 4 digit number which is a perfect square, is = ?
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7
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\(\frac{{{{\left( {0.73} \right)}^3} + {{\left( {0.27} \right)}^3}}}{{{{\left( {0.73} \right)}^2} + {{\left( {0.27} \right)}^2} - 0.73 \times 0.27}}\) = ?
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8
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\(\frac{3}{2} \times \frac{{11}}{5} \div \left( {\frac{{25}}{{44}} \times \frac{{11}}{5}} \right) \div \frac{{33}}{{15}} = ?\)
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9
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\(\frac{{225}}{{836}} \times \frac{{152}}{{245}} \div 1\frac{{43}}{{77}} = ?\)
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10
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One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
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