show how √5 can be represent on the number line
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Step-by-step explanation:
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Step-by-step explanation:
Step 1: On the number line, take 2 units from O and represent the point as A.
Step 2: At point A, draw a perpendicular and mark B such that AB = 1 unit.
Step 3: Now, with O as the center and OB as radius, draw an arc to cut the number line at C.
Step 4: Point C represents √5 on the number line.
In △OAB, using Pythagoras theorem, we have
OB² = OA² + AB²
= 2² + 1²
= 5
∴ OB = √5 units
Since, OB = OC = √5 units, therefore, point C represents √5 on the number line.
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