Question

What is the smallest positive integer $x$. Such that $\sqrt{\left(392\right)\left(x\right)}$ is an integer ?

• A. $7$
• B. $2$
• C. $4$
• D. $8$

Answer 1

The correct option is B $2$

According to given question,

$\sqrt{392\left(x\right)}$

$⟹\sqrt{14\times 14\times 2\times \left(x\right)}$

$⟹14\sqrt{2\times \left(x\right)}$

For this is an integer, The smallest positive value of $x=2$