51. $$\left[ {\frac{{{{\left( {0.73} \right)}^3} + {{\left( {0.27} \right)}^3}}}{{{{\left( {0.73} \right)}^2} + {{\left( {0.27} \right)}^2} - \left( {0.73} \right) \times \left( {0.27} \right)}}} \right]$$ simplifies to ?
52. If $$x = \frac{{\sqrt 5 + \sqrt 3 }}{{\sqrt 5 - \sqrt 3 }}$$ and $$y = \frac{{\sqrt 5 - \sqrt 3 }}{{\sqrt 5 + \sqrt 3 }}$$ then $$\left( {x + y} \right)$$ equals ?
53. Simplified from of $${\left[ {{{\left( {\root 5 \of {{x^{ - \frac{3}{5}}}} } \right)}^{ - \frac{5}{3}}}} \right]^5}$$ is = ?
54. What will come in place of both the question marks in the following question :
$$\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}$$
55. The value of $${{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}}$$ is = ?
56. $$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$ is equal to = ?
57. $$\left[ {8 - {{\left( {\frac{{{4^{\frac{9}{4}}}\sqrt {{{2.2}^2}} }}{{2\sqrt {{2^{ - 2}}} }}} \right)}^{^{\frac{1}{2}}}}} \right]$$ is equal to = ?
58. $$\frac{{3\sqrt 2 }}{{\sqrt 6 + \sqrt 3 }} - $$ $$\frac{{2\sqrt 6 }}{{\sqrt 3 + 1}} + $$ $$\frac{{2\sqrt 3 }}{{\sqrt 6 + 2}}$$ is equal to = ?
59. The value of $$\frac{1}{{{{\left( {216} \right)}^{ - \frac{2}{3}}}}}{\text{ + }}$$ $$\frac{1}{{{{\left( {256} \right)}^{ - \frac{3}{4}}}}}{\text{ + }}$$ $$\frac{1}{{{{\left( {32} \right)}^{ - \frac{1}{5}}}}}$$ is = ?
60. $${\left( {48} \right)^{ - \frac{2}{7}}} \times {\left( {16} \right)^{ - \frac{5}{7}}} \times {\left( 3 \right)^{ - \frac{5}{7}}} = ?$$
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