Question

represent √10 on real line. plz give diagram also.. ​

Answer 1

Consider a number line.

Let the point O represent 0 and point A represent 3.Now draw a perpendicular AP at A on the number line and cut off arc AB = 1 unit.

Using Pythagoras Theorem, we have

$\sf{OB {}^{2} = OA {}^{2} + AB {}^{2} } \\ \sf{= OB {}^{2} = (3) {}^{2} + (1) {}^{2}} \\ \sf{= OB {}^{2} = 10OB = \sqrt{10} }$

With O as the centre and as radius draw

an arc cutting real line at C. Clearly, OC =

OB = √10

Thus, C represents √10 on number

$\mathfrak{ \red{✤Hope \: this \: helps!!}}$