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What is the least possible positive integer value of $n$ such that $\sqrt{18 \times n \times 34}$ is an integer?.

Answer :

ABIDEMIOKINGO

The least possible positive integer value of n is 0

Radical expression:

Given the expression [tex]\sqrt{18 \times n \times 34}[/tex];

In order to get the least possible value of n for the radical expression to be an integer, hence:

  • [tex]18 \times n \times 34 \geq 0[/tex]

Solving for the value of n;

[tex]612n \geq 0\\n \geq \frac{0}{612} \\n \geq 0[/tex]

Hence the least possible positive integer value of n is 0

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