Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)

Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)

Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

Find the value of x for which \(32_{four} = 22_x\)

Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div  4 \frac{3}{8}\)