represent√5 and -√5 on the number line.
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Answers
steps for root 5:---
ANSWER
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,
OB2 =OA 2 +AB 2
OB 2 =(2) 2 +(1) 2 =5
OB= root 5
Taking O as the centre and OB= root5
as radius draw an arc cutting real line at C. Clearly, OC=OB= root5
.Hence, C represents root5 on the number line
Answer:
steps for root 5:---
ANSWER
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,
OB2 =OA 2 +AB 2
OB 2 =(2) 2 +(1) 2 =5
OB= root 5
Taking O as the centre and OB= root5
as radius draw an arc cutting real line at C. Clearly, OC=OB= root5
.Hence, C represents root5 on the number line