91Ó°ÊÓ

find the indicated root, or state that the expression is not a real number. $$-\sqrt[4]{16}$$

What is an extraneous solution to a radical equation?

Explain how to solve a radical equation with rational exponents.

Perform the indicated operations. $$\frac{\sqrt{27}}{2}+\frac{\sqrt{75}}{7}$$

find the indicated root, or state that the expression is not a real number. $$\sqrt[5]{32}$$

Multiply and simplify. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers. $$\sqrt{2 x^{7}} \cdot \sqrt{12 x^{4}}$$

Divide using synthetic division: $$\left(4 x^{4}-3 x^{3}+2 x^{2}-x-1\right) \div(x+3)$$ (Section \(5.6,\) Example 5 )

Simplify each expression. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers. $$\left(-2 x y^{2} \sqrt{3 x}\right)(x y \sqrt{6 x})$$

What are like radicals? Give an example with your explanation.

Factor: \(y^{2}-6 y+9-25 x^{2}\) (Section 6.5, Example 8)