Q4 of 20 Page 13

Let me place on Number Line.

Let the point O represent 0 on the number line.


We place a point A on the number line such that OA = 2 units.


Now, we draw AB perpendicular to OA at point A such that AB = 1unit.


By Pythagoras’ Theorem, we know that,


OB2 = OA2 + AB2


⇒ OB2 = 4 + 1 = 5


⇒ OB = √5



Now, taking O as a centre and OB as the radius, an arc is drawn which intersects the number line at P.


∴ OP = √5 units


Hence, Point P represents √5


More from this chapter

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2

What is meant by irrational numbers? —let me understand. Let me write 4 irrational numbers.

 3

Let us write rational and irrational numbers from the following:

(i) √9 (ii) √225


(iii) √7 (iv) √50


(v) √100 (vi) -√81


(vii) √42 (viii) √29


(ix) -√1000

 5

Let me place on Number Line.

6

Let me place √5, √6, √7, -√6, -√8, -√11 on same Number Line.