
Hi all,
Who can help on this question 21(iii)
Hi all,
Who can help on this question 21(iii)
21i) 2704 = 24 × 132
ii) 2704 = 24 × 132
= 22 × 22 x 132
= (2 × 2 × 13)2
= 522
iii) In order for (24 × 132 × m/n) to be a perfect cube, we need to take away one “2” and add one more “13”. So it becomes:
(24 × 132)× (13/2)
= 23 × 133
= (2 × 13)3
= 263
This means that m/n is 13/2. So m = 13 and n = 2.