Question : The value of $\frac{1}{\sqrt{7-4 \sqrt{3}}}$ is closest to:

Option 1: 1.2

Option 2: 4.1

Option 3: 4.2

Option 4: 3.7

Question : The value of $\frac{1}{\sqrt{17+12 \sqrt{2}}}$ is closest to _____.

Option 1: 1.4

Option 2: 1.2

Option 3: 0.14

Option 4: 0.17

Question : The value of $\frac{1}{\sqrt{17+12 \sqrt{2}}}$ is closest to ______.

Option 1: 1.4

Option 2: 1.2

Option 3: 0.14

Option 4: 0.17

Question : The value of $\sqrt{11+2 \sqrt{18}}$ is closest to:

Option 1: 4.8

Option 2: 4.4

Option 3: 3.8

Option 4: 4.1

Question : $\frac{1}{3-\sqrt{8}}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-2}=?$

Option 1: 5

Option 2: 4

Option 3: 3

Option 4: 2

Question : If $x^2+\frac{1}{x^2}=\frac{7}{4}$ for $x>0$, what is the value of $(x^3+\frac{1}{x^3})$?

Option 1: $\frac{3\sqrt{3}}{5}$

Option 2: $\frac{3\sqrt{15}}{5}$

Option 3: $\frac{3\sqrt{15}}{8}$

Option 4: $\frac{3\sqrt{5}}{8}$