Question

Locate √5 and -√50 number line

Answer 1

Step-by-step explanation:

1. Locating √5 on number line.

Steps-

a) Draw a number line with O as origin. Let us mark the point with co-ordinate 2 as A

b) Draw a line segment AB of length 1 unit perpendicular to OA.

c) Draw a line connecting O and B.

d) Using a compass, draw an arc with radius OB intersecting the number line at C.

This point C is the location of √5 on the number line.

2. Locating √50 on number line.

Steps-

a) Draw a number line with O as origin. Let us mark the point with co-ordinate 7 as A´

b) Draw a line segment A´B´ of length 1 unit perpendicular to OA´.

c) Draw a line connecting O and B´.

d) Using a compass, draw an arc with radius OB´ intersecting the number line at C´.

This point C´ is the location of √50 on the number line.

Rough sketch of the construction is attached