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Question
Show how `sqrt5` can be represented on the number line.
Solution
Draw a number line and take points O and A on it such that OA = 1 unit.
Draw BA ⊥ OA as BA = 1 unit.
Join OB = `sqrt2` units.
Now draw BB1 ⊥ OB such that BB1 =1 unit.
Join OB1 = `sqrt3` units.
Next, draw B1B2 ⊥ OB1 such that B1B2 = 1 unit.
Join OB2 = 1 unit.
Join OB2 = `sqrt4` units.
Again, draw B2B3 ⊥ OB2 such that B2B3 = 1 unit.
Join OB3 = `sqrt5` units.
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