91Ó°ÊÓ

Multiply and simplify. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers. $$\sqrt{20 x} \cdot \sqrt{5 x}$$

The graph for Exercises \(55-56\) shows that the less income people have, the more likely they are to report fair or poor health. What explanations can you offer for this trend?

find the indicated root, or state that the expression is not a real number. $$\sqrt[5]{-1}$$

Perform the indicated operations. $$\frac{\sqrt{32}}{5}+\frac{\sqrt{18}}{7}$$

Multiply and simplify. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers. $$\sqrt{50 x y} \cdot \sqrt{4 x y^{2}}$$

In Exercises \(65-74,\) simplify each radical expression and then rationalize the denominator. $$-\sqrt{\frac{75 a^{5}}{b^{3}}}$$

In Exercises \(63-84,\) divide and simplify to the form \(a+b i\) $$\frac{7}{4-3 i}$$

In Exercises \(55-78,\) use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers. $$\left(y^{-\frac{2}{3}}\right)^{\frac{1}{4}}$$

In Exercises \(55-78,\) use properties of rational exponents to simplify each expression. Assume that all variables represent positive numbers. $$\left(y^{-\frac{3}{4}}\right)^{6}$$

find the indicated root, or state that the expression is not a real number. $$\sqrt[7]{-1}$$