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How to locate √x on number …

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How to locate √x on number line

Posted by Debangana Paul 6 years ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 6 years ago

We can write 10 as
$10 = 9 + 1 = 3^2 + 1^2$
Draw OA = 3 units, on the number line
Draw BA = 1 unit, perpendicular to OA.
Join OB
Figure:

Now, by Pythagoras theorem,
$OB^2 = AB^2 + OA^2\\ OB^2 = 1^2 + 3^2 = 10$
$\Rightarrow \quad O B=\sqrt{10}$
Taking O as centre and OB as a radius, draw an arc which intersects the number line at point C.
Clearly, OC corresponds to $\sqrt{10}$ on the number line.

0Thank You

ANSWER

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