Question

standard 9
represent the number √5 and √10 on a number line ​

Answer 1

not good

not good (¬_¬)(¬_¬)(¬_¬)(¬_¬)(¬_¬)(¬_¬)

Answer 2

Answer:

For√5

represent the number √5 and √10 on a number line

Draw a number line and take point A at 2. Draw AB perpendicular to the number line such that AB = 1 unit.

In ∆OAB, m∠OAB = 90°

∴ (OB)2 = (OA)2 + (AB)2 … [Pythagoras theorem]

= (2)2 + (1)2 ∴ (OB)2 = 5

∴ OB = √5 units.

With O as centre and radius equal to OB, draw an arc to intersect the number line at C.

For√10

ii. Draw a number line and take point Pat 3.

Draw PR perpendicular to the number line such that PR = 1 unit.

In ∆OPR, m∠OPR = 90°

∴ (OR)2 = (OP)2 + (PR)2 … [Pythagoras theorem] = (3)2 + (1)2 ∴ (OR)2 = 10

∴ OR = √10units.

With O as centre and radius equal to OR, draw an arc to intersect the number line at Q.