91Ó°ÊÓ

Simplify each expression. Assume that all variables represent positive values. Assume no division by 0. SEE EXAMPLE 6. (OBJECTIVE 3) $$\left(\frac{1}{25}\right)^{1 / 2}$$

Simplify. All variables in square root problems represent positive values. Assume no division by 0. $$\sqrt{a^{7}} \sqrt{a^{3}}$$

Simplify each radical expression. If the answer is not exact, round to the nearest hundredth. All variables represent positive values $$\sqrt[5]{\frac{1}{32}}$$

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

Explain why a check is necessary when solving radical equations.

Simplify each expression. All variables of square root expressions represent positive numbers. Assume no division by 0. $$\sqrt[3]{\frac{81 p^{5} q^{3}}{1,000 p^{2} q^{6}}}$$

Explain the multiplication property of radicals.

Use scientific notation to simplify \(\sqrt{0.00000004}\).

Explain why a negative number cannot have a real number for its fourth root.

Simplify. All variables in square root problems represent positive values. Assume no division by 0. $$3 \sqrt{x}(2+\sqrt{x})$$