Math, asked by ItZzMissKhushi, 3 months ago

Show how 
 \sqrt{5}

Can be represented on the number line​

Answers

Answered by DevillHeart
43

Answer:

Again by pythagoras theorem we get OC = root 3.

Then by compus taking radius =OC

, draw an arc so that it cuts the number line at D

. Then the distance OD will be the square root of 3.

Answered by iamqueen1
466

Answer:

  • Draw number line as shown in the figure.

  • Let the point O represent 0 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 = 1 unit

Using pythagoras theorem, we have

{\boxed{ \bf{\sf \: OB = OA + AB}}} \\  \\

{\boxed{ \bf{\sf \:  {OB}^{2}  =  {2}^{2}  +  {1}^{2}  = 5}}} \\  \\

 \red {\boxed{\bf{ \sf \: OB =  \sqrt{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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