Question : If $a-\frac{1}{a}=4$, then the value of $a+\frac{1}{a}$ is:

Option 1: $5 \sqrt{5}$

Option 2: $4 \sqrt{5}$

Option 3: $2 \sqrt{5}$

Option 4: $3 \sqrt{5}$

Question : If $\sqrt{0.04\times 0.4\times a}=0.004\times 0.4\times \sqrt{b},$ then the value of $\frac{a}{b}$ is:

Option 1: $16\times 10^{-3}$

Option 2: $16\times 10^{-4}$

Option 3: $16\times 10^{-5}$

Option 4: $16 \times 10^{-6}$

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

Question : The simplified value of $\sqrt{900} + \sqrt{0.09} - \sqrt{0.000009}$ is:

Option 1: $30.27$

Option 2: $30.297$

Option 3: $30.097$

Option 4: $30.197$