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 $\frac{1}{\sqrt{7-4 \sqrt{3}}}$ is closest to:

Option 1: 1.2

Option 2: 4.1

Option 3: 4.2

Option 4: 3.7

Question : If $\sin A=\frac{2}{3}$, then find the value of (7 – tan A)(3 + cos A).

Option 1: $\frac{61}{3}+\frac{17}{3 \sqrt{5}}$

Option 2: $\frac{61}{3 \sqrt{5}}+\frac{17}{3}$

Option 3: $\frac{61}{3}+\frac{17}{\sqrt{5}}$

Option 4: $\frac{61}{3}-\frac{17}{3 \sqrt{5}}$

Question : If $\sin A=\frac{1}{2}$, then the value of $(\tan A+\cos A)$ is:

Option 1: $\frac{2}{3 \sqrt{3}}$

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

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

Option 4: $\frac{5}{3 \sqrt{3}}$

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