Locate√13 on the number line
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Answer:
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Step-by-step explanation:
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Answered by
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Step-by-step explanation:
Given :-
√13
To find :-
Locate√13 on the number line ?
Solution :-
Steps:-
- Draw a number line horizontally and mark zero in the middle of the number line.
- Mark negative numbers on the left side and positive numbers on the right side to the zero.
- Construct OABC rectangle whose length 3 units and breadth 2 units
- OA = BC = 3 units
- OC = AB = 2 units
- Join OB is a diagonal.It divides the rectangle into two congruent right angled triangles.
- In ∆ OAB , By Pythagoras Theorem
- The square of the hypotenuse is equal to the sum of the squares of the other two sides.
- OB² = OA²+AB²
=> OB² = 3²+2²
=> OB² = 9+4
=> OB² = 13
=> OB =√13 units
- Draw an arc with the radius OB and it cuts the number line at k
- K represents√13
- The value of √13 = 3.6055...
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