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locate 2 + under root 3 on the number line

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Skmms asked in Math

represent 2 + root 3 on a number line

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Lalit Mehra answered this
34314 helpful votes in Math, Class XII-Science

To representon the number line l, firstly mark the points O, A, B and C on l such that OA = AB = BC = 1.

Draw CD ⊥ l such that CD = 1 unit. Join BD.

In right ΔBCD,

BD2 = BC2 + CD2 = 12 + 12 = 1 + 1 = 2



Draw DE ⊥ BD such that DE = 1 units. Join BE.

In right ΔBDE,

BE2 = BD2 + DE2



Taking B as centre and BE as radius, draw an arc which intersects l in F.