Irrational Numbers

Is $2\mathrm{\pi }$ Rational Number or Irrational Number?

Classify the number $\frac{1}{\sqrt{2}}$ as: Rational Number / Irrational Number.

Identify whether the number $\frac{2\sqrt{7}}{7\sqrt{7}}$ is Rational Number $/$ Irrational Number.

Is $\left(3+\sqrt{23}\right)-\sqrt{23}$ rational or irrational?

$2-\sqrt{5}$ is: Rational Number or Irrational Number?

Write rational or irrational for the number $\sqrt{23}$.

Check whether, $\sqrt{225}$ is rational or irrational?

Classify the number $0.3796$ as Rational Number / Irrational Number.

Identify whether the number $7.478478....$ is Rational Number $/$ Irrational Number.

Identify whether the number $1.101001000100001$ is Rational Number $/$ Irrational Number.

Every real number is an irrational number.

Every point on the number line is of the form $\sqrt{\mathrm{m}},$ where $\mathrm{m}$ is a natural number.

Every irrational number is a real number.

Recall, $\mathrm{\pi }$ is defined as the ratio of the circumference (say $c$) of a circle to its diameter (say $d$). That is, $\mathrm{\pi }=\frac{c}{d}$. This seems to contradict the fact that $\mathrm{\pi }$ is irrational. How will you resolve this contradiction?

Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}.$

Show how $\sqrt{5}$ can be represented on the number line.

Are the square roots of all positive integers irrational? If not, give an example of the square root of a number, that is a rational number.