Question

the product of a real number and its square is 1728 then what will be the number
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Answer 1

Answer: x=12 Step-by-step explanation: LET THE NUMBER=x So square of number=x² Product of  number and squrea x*x²=1728 x³= x³=(2^6*3³) Thus x= 2² *3=12 Thus the no=12

Answer 2

The given question is that the product of a real number and its square is 1728.

we have to find what will be the number.

let the number be x and the square of the number be

${x}^{2}$

It is given that the product of a number and its square is 1728.

The expression for the above statement is

$x \times {x}^{2} = 1728$

On multiplying the LHS will become

${x}^{3}$

another step will be

${x}^{?} = {12}^{3}$

1728 is the cube value of 12.

Therefore the value of x is obtained by taking the cube root on both sides, which will. be

$\sqrt[3]{ {x}^{3} } = \sqrt[3]{ {12}^{3} }$

On proceeding, we get the answer as

$x = 12$

The value of x is 12.

Therefore, the product of 12 and its square is equal to 1728

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