91. Given $$\sqrt 5 = 2.2361,$$ $$\sqrt 3 = 1.7321{\text{,}}$$ then $$\frac{1}{{\sqrt 5 - \sqrt 3 }}$$ is equal to ?
92. $$\frac{1}{{\left( {\sqrt 9 - \sqrt 8 } \right)}} \, - $$ $$\frac{1}{{\left( {\sqrt 8 - \sqrt 7 } \right)}} \, + $$ $$\frac{1}{{\left( {\sqrt 7 - \sqrt 6 } \right)}} \, - $$ $$\frac{1}{{\left( {\sqrt 6 - \sqrt 5 } \right)}} \, + $$ $$\frac{1}{{\left( {\sqrt 5 - \sqrt 4 } \right)}}$$ is equal to ?
93. Determined the value of $$\frac{1}{{\sqrt 1 + \sqrt 2 }}{\text{ + }}$$ $$\frac{1}{{\sqrt 2 + \sqrt 3 }}\, + $$ $$\frac{1}{{\sqrt 3 + \sqrt 4 }}\, + $$ $$...... + $$ $$\frac{1}{{\sqrt {120} + \sqrt {121} }}{\text{ = ?}}$$
94. If $$\sqrt 2 = 1.414{\text{,}}$$ the square root of $$\frac{{\sqrt 2 - 1}}{{\sqrt 2 + 1}}$$ is nearest to = ?
95. Given that $$\sqrt 3 = 1.732{\text{,}}$$ the value of $$\frac{{3 + \sqrt 6 }}{{5\sqrt 3 - 2\sqrt {12} - \sqrt {32} + \sqrt {50} }}$$ is ?
96. $$\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right)$$ simplifies to = ?
97. If $$x = 3 + \sqrt 8 ,$$ then $${x^2} + \frac{1}{{{x^2}}}$$ is equal to = ?
98. If $$a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }},$$ $$b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}$$ then the value of $${a^2} + {b^2}$$ would be = ?
99. If $$a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$ and $$b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}, $$ the value of $$\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)$$ is ?
100. One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels ?
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