what is the smallest number by which 8788 must be divided so that the quotient is a perfect cube also find the cube root of the quotient
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3
8,788=4×13×13×13
⭕On division by 4 it becomes a perfect cube.
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Answered by
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Answer:
The quotient is 2197.
Step-by-step explanation:
To find the number that divides 8788 so that we obtain the quotient as a perfect cube,
Find the multiples of the number 8788,
8788 = “2 x 2 x 13 x 13 x 13”
8788 = 4 x 13 x 13 x 13
\frac{8788}{4}
4
8788
= 13 x 13 x 13
\frac{8788}{4}=(13)^{3}
4
8788
=(13)
3
Hence the number 8788 must be divided by 4 so that the quotient is a perfect cube.
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