Find the smallest number by which 726 should be multiplied to make a perfect cube
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∴ 300= 2×2 ×3× 5×5
∴ 300= 2×2 ×3× 5×5 Clearly 3 has no pair.
Thus, if we multiply it by 3 then the product will be a perfect square.
∴ 300= 2×2 ×3× 5×5 Clearly 3 has no pair. Thus, if we multiply it by 3 then the product will be a perfect square.∴ Required smallest number is 3.
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0
Answer:
396
Step-by-step explanation:
1. solve using Prime Factorization method
726= 2*3*11*11
2. The required no for making it a perfect cube are 2*2*3*3*11
3. Multiply 2*2*3*3*11 is 396
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