41. The value of $${\left( {\sqrt 8 } \right)^{\frac{1}{3}}}$$ is = ?
42. The value of $${\left( {\frac{{32}}{{243}}} \right)^{ - \frac{4}{5}}}$$ is = ?
43. The value of $${\text{2}}{{\text{7}}^{ - \frac{2}{3}}}$$ lies between = ?
44. The value of $$\frac{1}{{\sqrt {3.25} + \sqrt {2.25} }}$$ $$ +\, \frac{1}{{\sqrt {4.25} + \sqrt {3.25} }}$$ $$ +\, \frac{1}{{\sqrt {5.25} + \sqrt {4.25} }}$$ $$ +\, \frac{1}{{\sqrt {6.25} + \sqrt {5.25} }}$$   is = ?
45. $$\frac{{{3^0} + {3^{ - 1}}}}{{{3^{ - 1}} - {3^0}}}$$ is simplified to = ?
46. The simplified form of $$\frac{2}{{\sqrt 7 + \sqrt 5 }} + $$ $$\frac{7}{{\sqrt {12} - \sqrt 5 }} - $$ $$\frac{5}{{\sqrt {12} - \sqrt 7 }}$$ is = ?
47. The value of $$\root 3 \of {{2^4}\sqrt {{2^{ - 5}}\sqrt {{2^6}} } } $$ is = ?
48. The value of $$\sqrt {2\sqrt {2\sqrt {2\sqrt {2\sqrt 2 } } } } = ?$$
49. The value of $${\left( {0.03125} \right)^{ - \frac{2}{5}}}$$ is = ?
50. Simplify : $$\frac{1}{{\sqrt 3 + \sqrt 4 }} \,+ $$ $$\frac{1}{{\sqrt 4 + \sqrt 5 }} \,+ $$ $$\frac{1}{{\sqrt 5 + \sqrt 6 }} \,+ $$ $$\frac{1}{{\sqrt 6 + \sqrt 7 }} \,+ $$ $$\frac{1}{{\sqrt 7 + \sqrt 8 }}\, + $$ $$\frac{1}{{\sqrt 8 + \sqrt 9 }} = ?$$
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