Represent √5 on the number line.
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make a line taking 2 cm gape on the line mark 0 , 1 ,2 , draw a straight line from point 2 on the line marks 2 cm then from point 0 draw a line slant to the point where we make 2 cm with help of compass make a arc from point of 2 cm at the marks there as root 5
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❥︎. Using pythagoras theorem:-
Hypotenuse² = Base² + Height ²
=> AB² + BC²= CA²
=> 2² + 1²= CA²
=> CA² = 5
=> CA² = √5
Thus, √5 is represented on a number line as shown in the figure.
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