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Plot square root three in number line

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Ref: https://edurev.in/question/494361/Plot-square-root-three-in-number-line-

To locate where √3 is on a number line you could follow these steps:

Step 1: Construct a 30 degree angle from 0 as shown and make the blue line 2 units.

Plotting of Square Root Three - Class 9

Step 2: Drop a perpendicular from P to the number line meeting it at Q


Plotting of Square Root Three - Class 9


The REASON the length from 0 to Q is √3 can be shown by using Pythagoras’ Theorem in the triangle:

Plotting of Square Root Three - Class 9

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