Express \(\sqrt{5}\) on the number line.
Procedure:
Step -1: Draw a number line and label the centre point as .
Step 2: Mark the of zero as \(1, 2, 3,...\) and the as \(-1, -2, -3,...\).
Step -3: Take \(OA =\) unit. Then, draw \(AB \perp OA\) such that \(AB =\) unit. Now, join \(OB\) to get a \(OAB\).
Step - 4: Length of the hypotenuse can be determined by applying .
Step - 5: Draw an arc on the number line by taking the hypotenuse as the radius and origin as the centre. Here, the radius is .
Step - 6: Thus, the distance between gives the representation of the square root of \(5\) on the number line.