Question

Draw a number line and Locate √2 and √3 on the number line.

Answer 1

number line .hope i helped you.

Answer 2

Answer:

HEllo MaTe,

Step-by-step explanation:

Solution √2

• It is easy to see how the Greeks might have discovered
• 2 .
• Consider a square OABC, with each side 1 unit in length.
• Then you can see by the Pythagoras theorem that OB = 2 2 1 1 2 + = . How do we represent 2 on the number line?

This is easy. Transferinfg onto the number line making sure that the vertex O

coincides with zero.

• We have just seen that OB = 2 . Using a compass with centre O and radius OB,
• draw an arc intersecting the number line at the point P. Then P corresponds to 2 on

the number line.

Solution √3

• Construct BD of unit length perpendicular to OB. Then using the
• Pythagoras theorem, we see that OD = ( )2

2

• 2 1 3 + = . Using a compass, with

centre O and radius OD, draw an arc which intersects the number line at the point Q.

Then Q corresponds to 3 .