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FIND THE SMALLEST NUMBER BY WHICH 8788 BE DIVIDED SO THAT THE QUOTIENT IS PERFECT CUBE. MAKE IT BY PROCESS |
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Answer» Answer: The quotient is 2197. 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 which is \bold{13^{3}}13 3. |
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