Verified Answer :

AL2006

The quotient of a number and its reciprocal is the square of the original number.

The quotient of a number and it's reciprocal is square of the original number

Given :

The quotient of a number and it's a reciprocal

For example we take a number 3

Let the  number be 3

The reciprocal of 3 is \(\frac{1}{3}\)

The quotient of a number 3 and it's a reciprocal \(\frac{1}{3}\) is \(\frac{3}{\frac{1}{3} } =3 \cdot \frac{3}{1} =9\)

we know that \(3^2=9\)

Square of 3 is 9

From this we can say that,

The quotient of a number and it's a reciprocal is the square of the original number.

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