List of top Mathematics Questions on Revisiting Irrational Numbers asked in CBSE Class X

Prove that \(\sqrt{5}\) is an irrational number.

Prove that \(\sqrt{5}\) is an irrational number.
Prove that $\sqrt{3}$ is an irrational number.
Prove that \(\sqrt{2}\) is an irrational number.
Prove that \(3 + 2\sqrt 5\) is irrational.
Prove that the following are irrationals :
  1.   \(\dfrac{1}{\sqrt 2}\) 
  2. \(7\sqrt 5\) 
  3. \(6 + \sqrt 2\)
Prove that \(\sqrt 5\) is irrational.