3. Show how root5 can be represented on the number line.​

Question

3. Show how root5 can be represented on the number line.​

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Vivian 1 month 2021-08-20T11:15:20+00:00 1 Answer 0 views 0

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    2021-08-20T11:16:24+00:00

    Draw 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,

    OB

    2

    =OA

    2

    +AB

    2

    OB

    2

    =(2)

    2

    +1

    2

    =5

    OB=

    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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