What is the smallest number that 5145 should be divided so that you get a perfect cube. Also find the cube root of that number.
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Given number is 8748
On prime factorising, we get
8748=2×2×3×3×3×3×3×3×3
Grouping of the equal factor in 3’s, it’s seen that 2×2×3 is left without grouping.
8748=2×2×3×(3×3×3)×(3×3×3)
Hence, on dividing the number 8748 by 12, we get 729
And, the cube root of 729 is 3×3=9.
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smallest number that 5145 should be divided by x
Step-by-step explanation:
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