Question

4. Find the least number which when multiplied with 16875 gives the product a perfect cube. Find the cube root of the product thus obtained.​

Answer 1

Answer:

here it is clear that when we multiply 137592 by the number 7 × 13² we get, 2³ × 3³ × 7² × 13 × 7 × 13² = (2 × 3 × 7 × 13)³ ⇒a perfect cube. Therefore the smallest number is 1183 and the cube root of the product is 546.