Question

Q.3 Represent V10 on the number line.​

Answer 1

Answer:

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

OB(square) = OA(square) + AB(square)

= OB(square) = (3)square + (1)square

= OB(square) = 10

OB = root10

With O as the centre and as radius draw an arc cutting real line at C. Clearly, OC =

OB root10

Thus, C represents root10 on number line..