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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