A square tile has a side length of 1 metre. What will be the length of its diagonal, and what type of number is it?

Correct answer: \(\sqrt{2}\) मीटर और अपरिमेय संख्या

Using the Pythagorean theorem for the square, \(d^2=1^2+1^2=2\), so \(d=\sqrt{2}\) metres. Since \(\sqrt{2}\) cannot be expressed as a ratio of two integers, it is irrational. Option B is incorrect because 2 is the value of the square of the diagonal, not the diagonal itself. Exam tip: the diagonal of a square with side \(a\) is \(a\sqrt{2}\).