WHAT IS THE SMALLEST NUMBER BY WHICH 765625 BE DIVIDED TO MAKE IT A PERFECT CUBE? ALSO, FIND THE CUBE ROOT OF THE PERFECT CUBE OBTAINED
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Answer:Prime Factorisation of 69120 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
To make 69120 a perfect cube, it shoulb be divided by 5.
69120 ÷ 5 = 13824
Prime Factorisation of 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
Cube root of 13824 = 2 × 2 × 2 × 3 =24
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