R S Aggarwal and Veena Aggarwal Solutions for Exercise 8: MULTIPLE-CHOICE QUESTIONS (MCQ)

On simplification, the expression $\frac{5^{n+2}-6\times 5^{n+1}}{13\times 5^n-2\times 5^{n+1}}$ equals

The simplest rationalisation factor of $\sqrt[3]{500}$ is

The simplest rationalisation factor of $\left(2\sqrt{2}-\sqrt{3}\right)$ is

The rationalisation factor of $\frac{1}{2\sqrt{3}-\sqrt{5}}$ is

The value of $\sqrt{3-2\sqrt{2}}$ is

The value of $\sqrt{5+2\sqrt{6}}$ is

If $\sqrt{2}=1.414$ then $\sqrt{\frac{\left(\sqrt{2}-1\right)}{\left(\sqrt{2}+1\right)}}=$?

If $x=3+\sqrt{8}$ then $\left(x^2+\frac{1}{x^2}\right)=$?