Simplify by first writing in radical form.

$$9^{-5 / 2}$$

Execute the indicated operations.

$$4 \sqrt{50}-3 \sqrt{12}-5 \sqrt{200}$$

Use the preceding information (a) Simplify $\sqrt{36}$. (b) Solve $x^2=36$.

Determine this product. To ensure that the answers are simple, refer to the five criteria provided in this section.

$$(\sqrt{85}-\sqrt{82})(\sqrt{85}+\sqrt{82})$$

Determine this square root.

$$\sqrt{0.16}$$

Solve this equation.

$$\sqrt{x+2}=\sqrt{2 x-5}$$

Simplify this radical expression.

$$\sqrt{12} \cdot \sqrt{27}$$

Determine this product. To ensure that the answers are simple, refer to the five criteria provided in this section.

$$(\sqrt{78}-\sqrt{76})(\sqrt{78}+\sqrt{76})$$

Perform this indicated operation. Express answers in simplest terms.

$$\dfrac{2}{x+3}-\dfrac{4}{x-1}$$

Solve this equation.

$$\sqrt{2 x+9}+\sqrt{x+5}=2$$

Simplify by first writing in radical form.

$$49^{-3 / 2}$$

Perform the indicated operations and express the answer in the simplest form. Assume that all variables represent positive numbers

$$\sqrt[3]{16 t^2}-\sqrt[3]{54 t^2}+\sqrt[3]{128 t^2}$$

Simplify this radical.

$$\sqrt{145}$$

Simplify the expression.

$$\sqrt[3]{1728}$$