Question

represent
$\sqrt{10}$
on the number line​

Answer 1

Steps of Construction:

[ Refer attachment for construction ]

1. Draw a number line.

2. Draw OP ⊥ OA such that OP = 1 unit and OA = 3 units.

3. ΔPOA is a Right angled triangle.

4. In Right angled Δ POA

Using Pythagoras theorem

⇒ AP² = OP² + OA²

⇒ AP² = 1² + 3²

⇒ AP² = 1 + 9

⇒ AP² = 10

⇒ AP = √10

5. Measure AP using compass with O as centre and AP as radius draw an arc intersecting number line at B such that OB = √10 units.

Know more:

Represent √17 on the number line

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