Question

3. Find the smallest number by which each of the following numbers must be multiplied
to obtain a perfect cube:
(1) 243
(ii) 3072
(iii) 11979
(iv) 19652​

Answer 1

Step-by-step explanation:

Firstly, Factorise every number =

i. 243= 3×3×3×3×3 so , divide the factors into three parts we can see one three is missing so, 243 must be multiplied by 3 to get perfect cube i.e. 243×3= 729

Solve every question like this =

ii.3072=2×2×2×2×2×2×2×2×2×2×3

3072×3×3= 27648

iii.11979=3×3×11×11×11

11979×11=131769

iv.19652=2×2×17×17×17

19652×2=39304

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