Number System Quiz 7

The value of 1.999 … in the form of $\frac{p}{q}$ (p,q are integers, q ≠ 0)

If ‘x’ is a positive real number and $x^2=2$, then the value of $x^3$ is

If $\sqrt{10}=3.162$, then the value of $\frac{1}{\sqrt{10}}$ is

If $x=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ and $y=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ then the value of x + y is

If $x=2+\sqrt{3},$ then the value of $x-\frac{1}{x}$ is

A rational number equivalent to $\frac{5}{7}$ is

If $x=\sqrt{5}+2$, then the value of $x-\frac{1}{x}$ is

The value of $(\frac{1}{2})^3+(\frac{1}{3})^3-(\frac{5}{6})^3$ is

If the length and breadth of a rectangular sheet are $\sqrt{5}+\sqrt{2}$ and $\sqrt{5}-\sqrt{2}$ units, then it’s area in sq. units

Which of the following is an irrational number between 4 and 5?