Question

which is an irrational number between root2 and root3 6 1by4 or 6 1by8

​

Answer 1

Irrational numbers are numbers that cannot be expressed as the ratio of two integers.

$\sqrt{2}$ can not be expressed as the ratio of two integers , so it is irrational.

$\sqrt{3}$ can not be expressed as the ratio of two integers , so it is irrational.

$\frac{61}{4}$ can  be expressed as the ratio of two integers , so it is rational.

$\frac{61}{8}$ can  be expressed as the ratio of two integers , so it is rational.