What is the smallest number by which 8192 must be divided so that quotient is a perfect cube root of the quotient so obtained.
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What is the smallest number by which 8192 must be divided so that quotient is a perfect cube root of the quotient so obtained.
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Answer:
The smallest number by which 8192 must be divided so that quotient is a perfect cube is 2.
The cube root of quotient 4096 is 16.
Step-by-step explanation:
To find : What is the smallest number by which 8192 must be divided so that quotient is a perfect cube also find cube root of the quotient?
Solution :
The number 8192 factors are :
i.e. 8192 make a perfect cube if we divide the number by 2 as 2 is an extra factor which doesn't make the cubic number.
So, The smallest number by which 8192 must be divided so that quotient is a perfect cube is 2.
Now, Dividing 8192 by 2 we get,
The quotient is 4096.
The cube root of 4096 is
The cube root of quotient 4096 is 16.
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