Q5 of 21 Page 72

From the pair of numbers given below, pick out those whose product is a natural number or a fraction:

(i) √3, √12


(ii) √3, √1.2


(iii) √5, √8


(iv) √0.5, √8


(v) ,


We know that √x × √y = √xy

(i ) √3 × √12 = √3×12 = √36 = 6 Natural number


(ii) √3 × √1.2 = √3×1.2 = √3.6 = 6√0.1 Not a natural number or fraction


(iii ) √5 × √8 = √5×8 = √40 = 4√10 Not a natural number or fraction


(iv) √0.5 × √8 = √0.5×8 = √4 = 2 Natural number


(v ) √ × √ = Natural number


More from this chapter

All 21 →
3

Calculate the perimeter and area of the triangle in the picture.


 4

All red triangles in the picture are equilateral. What is the ratio of the sides of the outer and inner squares?


 1

Calculate the length of the sides of the equilateral triangle on the right, correct to a millimetre.

 2

The picture shows the vertices of a regular hexagon connected by lines.


i) Prove that the inner red hexagon is also regular.


ii) How much of a side of the large hexagon is a side of the small hexagon?


iii) How much of the area of the large hexagon is the area of the small hexagon?