Question

Find the smallest number which when multiplied with 7225 will make the product a
perfect cube. Find also the cube root of the product.​

Answer 1

Answer:

546

Step-by-step explanation:

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.

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