Is 40500 a perfect cube? If not (a) by what number should 40500 be divided to obtain a perfect cube?
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Hi this is your answer
No 40,500 is not a perfect cube
(a) by what number should 40500 be multiplied to obtain a perfect cube?
ans:- It should be multiplied by 18 to get perfect cube
a & b question both are same
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• 40500 is not a perfect cube.
- Find prime factors of 40500 -
40500 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5
》³√40500 = (2 × 2 × 3 ) × (3 × 5) ...《Take common 3 and 5 because it is making 3 times for each but not double 2 and extra 3》
》³√(40500/12) = 15
》³√3375 = 15
• 40500 should be divided by 12 to get 3375 as a perfect cube and it's cube root is 15.
I hope it helps you...
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