Question

can anyone solve its soo urgent​

Answer 1

Construct BD of 1 unit length perpendicular to OB as fig. Join OD

Construct BD of 1 unit length perpendicular to OB as fig. Join OD

By Pythagoras theorem,

$\rm \: OD = \sqrt{\sqrt{2 }^{2} + {1}^{2}} \\ \\ \rm \implies \sqrt{2 + 1} \\ \\ \rm \implies \sqrt{3}$

Using a compass, with centre O and radius OD, draw an arc which

Using a compass, with centre O and radius OD, draw an arc which intersects the number line at the point L right side to 0. Then

′ L ′ corresponds to $\rm \sqrt{3}$

From this we can conclude that many points on the number line can be represented by irrational numbers also.

Note:-

In the same way, we can locate $\rm \sqrt{n}$for any positive integers n, after $\rm\sqrt{n−1 }$ has been located.