$\sqrt{? \times 7} \times 18 = 84$

Evaluate $\frac{8-[5-(-3+2)]+2}{|5-3|-|5-8|+3}$

If $a = 7 - 4 \sqrt{3}$,the value of $a^{\frac{1}{2}} + a^{-\frac{1}{2}}$ is

If $1$ is added to the denominator of a fraction,the fraction becomes $\frac{1}{2}$. If $1$ is added to the numerator of the fraction,the fraction becomes $1$. The fraction is

Determine the value of $x$. If $x = \frac{(943 + 864)^{2} - (943 - 864)^{2}}{(1886 \times 1728)}$

When $\frac{1}{4}$ of a number is subtracted from $\frac{1}{3}$ of the same number,the remainder obtained is $12$. The number is: