find the smallest number which when multiplied with 3600 will make the product a perfect cube. further ,find the cube root of the product
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to find this
factories 3600
3600 = 2 × 1800
= 2 × 2× 900
= 2 × 2 ×2 × 450
= 2 × 2 × 2 ×2 × 225
= 2 × 2 × 2 ×2 × 3×75
= 2 × 2 × 2 ×2 × 3×3×25
= 2 × 2 × 2 ×2 × 3×3×5×5
= 2^2 × 2^2 × 3^2 × 5^2
so to be a perfect cube we have to multiple by
= 2 × 2 × 3 ×5
ie by 60
factories 3600
3600 = 2 × 1800
= 2 × 2× 900
= 2 × 2 ×2 × 450
= 2 × 2 × 2 ×2 × 225
= 2 × 2 × 2 ×2 × 3×75
= 2 × 2 × 2 ×2 × 3×3×25
= 2 × 2 × 2 ×2 × 3×3×5×5
= 2^2 × 2^2 × 3^2 × 5^2
so to be a perfect cube we have to multiple by
= 2 × 2 × 3 ×5
ie by 60
aryan829:
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