We need to draw a line segment AB of 2 unit on the number line. Then draw a perpendicular line segment BC at B of 1 units. Then join the points C and A, to form a line segment AC. According to Pythagoras Theorem

AC^{2} = AB^{2} + BC^{2}

AC^{2} = 2^{2} + 1^{2}

AC^{2} = 4 + 1 = 5

AC = \( \sqrt 5\)

Then draw the arc ACD, to get the number \( \sqrt 5\) on the number line.

Answered by Shivani Kumari | 1 year agoVisualise the representation of \( 5.3\overline{7}\) on the number line upto 5 decimal places, that is upto 5.37777.

Visualise 2.665 on the number line, using successive magnification.

Find whether the following statements are true or false:

**(i) **Every real number is either rational or irrational.

**(ii)** π is an irrational number.

**(iii)** Irrational numbers cannot be represented by points on the number line.