Locate √5 on number line
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ng √5 we consider Pythagoras theorem.Using Pythagoras theorem ...
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9th
Maths
Number Systems
Re-Introduction to Number
Represent \sqrt{5} o...
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Asked on December 20, 2019 by
Poorva Shrivastwa
Represent
5
on the number line.
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ANSWER
Draw number line as shown in the figure. Let the point O represent 0(zero) and point A represents 2. Draw perpendicular AX at A on the number line and cut-off arc AB=1unit.
We have OA=2 units and AB=1unit
Using pythagoras theorem, we have,
OB
2
=OA
2
+AB
2
OB
2
=(2)
2
+1
2
=5
OB=
5
Taking O as the centre and OB=
5
as radius draw an arc cutting real line at C. Clearly, OC=OB=
5
.
Hence, C represents
5
on the number line.
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