The simplification of \(\frac{5}{{3 + \frac{3}{{1 - \frac{2}{3}}}}}, = ?\)
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1
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(? - 968) / 79 * 4 = 512
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2
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24.962 ÷ (34.11 ÷ 20.05) + 67.96 - 89.11 = ?
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3
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\(\sqrt {\frac{{4\frac{1}{7} - 2\frac{1}{4}}}{{3\frac{1}{2} + 1\frac{1}{7}}} \div \frac{1}{{2 + \frac{1}{{2 + \frac{1}{{5 - \frac{1}{5}}}}}}}} \) is equal to = ?
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4
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The value of \(\frac{{\sqrt {80} - \sqrt {112} }}{{\sqrt {45} - \sqrt {63} }} = ?\)
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5
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\(\left( {x + \frac{1}{x}} \right)\left( {x - \frac{1}{x}} \right)\left( {{x^2} + \frac{1}{{{x^2}}} - 1} \right)\left( {{x^2} + \frac{1}{{{x^2}}} + 1} \right)\) 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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Find the value of \(\sqrt {4 + \sqrt {44 + \sqrt {10000} } } \)
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8
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If \(\frac{{x + 1}}{{x - 1}}{ \text{ = }}\frac{a}{b} \) and \(\frac{{1 - y}}{{1 + y}}{ \text{ = }}\frac{b}{a}{ \text{,}} \) then the value of \(\frac{{x - y}}{{1 + xy}}\) = ?
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9
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The number of pairs of natural numbers the difference of whose squares is 45 will be ?
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10
Discuss
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What is \(\frac{{\frac{7}{8} \times \frac{7}{8} + \frac{5}{6} \times \frac{5}{6} + \frac{7}{8} \times \frac{5}{3}}}{{\frac{7}{8} \times \frac{7}{8} - \frac{5}{6} \times \frac{5}{6}}}\) equal to ?
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