Simplify by first writing in radical form.

$$16^{3 / 4}$$

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

$$(6-\sqrt{11})^2$$

Simplify this radical.

$$\sqrt{27}$$

Determine all square roots of this number. 1600

Execute the indicated operations.

$$\sqrt{14}+\sqrt{17}$$

Solve this equation.

$$\sqrt{17 t-4}=4 \sqrt{t}$$

Simplify and write this expression without negative exponents. Suppose that variables represent positive real numbers.

$$\left(\dfrac{3^2 y^{-2}}{2^{-1} y^3}\right)^{-3}$$

Determine the distance between $(-3,-5)$ and $(4,-3)$.

Simplify this radical.

$$\sqrt{45}$$

Execute the indicated operations.

$$\sqrt{6}+\sqrt{7}$$

Rationalize this denominator.

$$\dfrac{12}{\sqrt{72}}$$

Simplify and write this expression without negative exponents. Suppose that variables represent positive real numbers.

$$\left(3 x^6\right)\left(2 x^2 y\right)^2$$

Determine all square roots of this number. 900

Perform this indicated operations, and express each response in its most basic form. Assume  the variable being positive real number.

$$\dfrac{6 \sqrt{3}}{5 \sqrt{12}}$$