Question

Represent the following irrational number on the number line.
$\sqrt{6.5}$
$\left[4\right]$

Answer 1

$\left[2\right]$

• Draw a line and mark a point A on it.
• Mark a point B such that AB = 6.5 cm.
• Mark a point C on this line such that BC = 1 cm.
• Find the midpoint of AC by drawing perpendicular bisector of AC and let it be O
• With O as center and OC = OA as radius, draw a semicircle.
• Draw a line BD, which is perpendicular to AB at B.
• Now BD $=\sqrt{6.5}$. , which can be marked in the number line as the value of BE = BD $=\sqrt{6.5}$

$\left[2\right]$