Question

Show how √5 can be represented on the number line.​

Answer 1

Step-by-step explanation:

Take a line segment AB = 2 units (consider 1 unit = 2 cm) on x-axis. Draw a perpendicular on B and construct a line BC = 1 unit length. Join AC which will be √5 (Pythagoras theorem). Take A as center, and AC as radius draw an which cuts the x-axis at point E.

Answer 2

Answer:

It can be represented by AB

Where AB is a hypotenuse of a ΔABC

Let AC be 2 and BC be 1.

Then AB=

$AB = \sqrt{ {2}^{2} + {1}^{2} } \\ AB = \sqrt{4 + 1} \\ AB = \sqrt{5}$

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