81. If $$\left( {a + \frac{1}{a}} \right) = 6,$$ then $$\left( {{a^4} + \frac{1}{{{a^4}}}} \right)$$ = ?
82. If $$\left( {x - \frac{1}{x}} \right){\text{ = }}\sqrt {21} {\text{,}}$$ then the value of $$\left( {{x^2} + \frac{1}{{{x^2}}}} \right)$$ $$\left( {x + \frac{1}{x}} \right)$$ is = ?
83. On simplification the value of $${\text{1}} - $$ $$\frac{1}{{1 + \sqrt 2 }}{\text{ + }}$$ $$\frac{1}{{1 - \sqrt 2 }}$$ is = ?
84. If $$\left( {{a^4} + \frac{1}{{{a^4}}}} \right){\text{ = 1154,}}$$ then the value of $$\left( {{a^3} + \frac{1}{{{a^3}}}} \right)$$ is = ?
85. If $$\left( {x + \frac{1}{x}} \right){\text{ = }}\sqrt {13} {\text{,}}$$ then the value of $$\left( {{x^3} - \frac{1}{{{x^3}}}} \right)$$ is = ?
86. If $$\left( {4{b^2} + \frac{1}{{{b^2}}}} \right){\text{ = 2,}}$$ then $$\left( {8{b^3} + \frac{1}{{{b^3}}}} \right)$$ = ?
87. $$\frac{{20 + 8 \times 0.5}}{{20 - ?}}{\text{ = 12}}$$ Find the value in place of (?)
88. Let 0 < x < 1, then the correct inequality is = ?
89. If $$\frac{a}{b}{\text{ + }}\frac{b}{a}{\text{ = 2,}}$$ then the value of (a - b) is = ?
90. 24.962 ÷ (34.11 ÷ 20.05) + 67.96 - 89.11 = ?
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