Question : Which is the largest among the numbers $\sqrt{5},\ 3\sqrt{7}$, and $4\sqrt{13}$.

Option 1: $\sqrt{5}$

Option 2: $3\sqrt{7}$

Option 3: $4\sqrt{13}$

Option 4: $\text {All are equal}$

Question : Which value among $3^{200},2^{300},$ and $7^{100}$ is the largest?

Option 1: $3^{200}$

Option 2: $2^{300}$

Option 3: $7^{100}$

Option 4: All are equal.

Question : What is the value of the positive square root of $(69+28\sqrt{5})$?

Option 1: $(7+2\sqrt{5})$

Option 2: $(7-2\sqrt{5})$

Option 3: $(2+7\sqrt{5})$

Option 4: $(2-7\sqrt{5})$

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 : The smallest among $\sqrt[6]{12},\sqrt[3]{4},\sqrt[4]{5},\sqrt3$ is:

Option 1: $\sqrt[6]{12}$

Option 2: $\sqrt[3]{4}$

Option 3: $\sqrt3$

Option 4: $\sqrt[4]{5}$