Question

locate root 3 on number line​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given :-

√3

To find:-

Locate √3 on the number line?

Solution:-

See above attachment

• Draw a number line.
• Construct OABC square of 1 units to get √2 on the number line.
• Draw a line segment of 1 units to get
• ∆ OBD right angled triangle
• OB = √2 units , BD = 1 units
• By Pythagoras theorem, OD^2=OB^2+BD^2
• OD^2 = (√2)^2+(1)^2
• OD^2 = 2+1=3
• OD =√3
• Draw an arc from D with the length OD = √3 units so that it cuts the number line at 1.732...
• √3 = 1.732...