91Ó°ÊÓ

Simplify each expression. All variables of square root expressions represent positive numbers. Assume no division by 0. $$\sqrt{\frac{500}{81}}$$

Simplify. All variables in square root problems represent positive values. Assume no division by 0. $$\sqrt[3]{8 x^{2}} \sqrt[3]{8 x}$$

Simplify each expression. Assume that all variables represent positive values. Assume no division by 0. SEE EXAMPLE 6. (OBJECTIVE 3) $$\left(\frac{1}{64}\right)^{1 / 3}$$

Simplify each expression. All variables of square root expressions represent positive numbers. Assume no division by 0. $$\sqrt[3]{54 x^{3} y^{4} z^{6}}$$

Simplify each radical expression. If the answer is not exact, round to the nearest hundredth. All variables represent positive values $$\sqrt[6]{26.808}$$

Simplify. All variables represent positive values. $$5 \sqrt{250}-3 \sqrt{160}$$

Use a calculator to help solve each. Give any decimal answer rounded to the nearest tenth. The formula \(s=k \sqrt{d}\) relates the speed \(s\) (in \(\mathrm{mph}\) ) of a car and the distance \(d\) (in ft) of the skid when a driver hits the brakes. For wet pavement, \(k=3.24 .\) To the nearest tenth, how far will a car skid if it is going \(56 \mathrm{mph} ?\)

Find each square root. If it is not exact, give a decimal approximation correct to three decimal places. $$\sqrt{4,900}$$

Simplify. All variables in square root problems represent positive values. Assume no division by 0. $$\sqrt[3]{4 a} \sqrt[3]{250 a^{2}}$$

Simplify each expression. Assume that all variables represent positive values. Assume no division by 0. SEE EXAMPLE 6. (OBJECTIVE 3) $$\left(\frac{1}{1,000}\right)^{1 / 3}$$