Question

show how root 5 can be represented on the number line

Answer 1

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here's your answer!

Ques - show how √5 can be represented on the number line .

Ans-

Construction steps :-

(1) Draw a number line.

(2) Take 'O' as origin on it , representing 0.

(3) let OA = 2 units and draw AB perpendicular to OA, such that AB = 1 units.

(4) Join OB. then, with O as centre and OB as radius, draw an arc which cuts the number line at P. Then, OP = OB = √2 units .

since, OA = 2 units (3cm)

as, 1 unit  = 1.5cm

AB is perpendicular to OA ,

Proof:-

so, AB = 1 units

then,

BY P.G.T.,

OB² = OA² + AB²

=> OB² = 2² + 1²

=> OB² = 4+1

=> OB² = 5

=> OB = √5

YOUR DIAGRAM IS IN THE FORM OF ATTACHMENT!

Answer 2

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