Question

What is the smallest number by which 8192 must be divided so that quotient is a perfect cube root of the quotient so obtained.​

Answer 1

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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