Question

Find the cube root by prime factorisation,

(i) 1728 

(ii) 3375

(iii) 10648 

Answer 1

(i) 1728 = 2 × 2 × 2 × 6 × 6 × 6 

= 12 × 12 × 12

3\(\sqrt{1728}\) = 12

(ii) 3375 = 5 × 5 × 5 × 3 × 3 × 3 

= 15 × 15 × 15

(iii) 10648 = 2 × 2 × 2 × 11 × 11 × 11 

= 2 × 11 × 2 × 11 × 2 × 11 

= 22 × 22 × 22

10648 = 22³