0. Review of Algebra

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. ∛2/3

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. ∜2/25

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. √(2/3x)

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. $\sqrt{\frac{x^5{y}^3}{z^2}}$

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. ∛(8/x⁴)

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers.

$\frac{(\text{∛}mn\cdot \text{∛}{m}^2)}{\text{∛}{n}^2}$

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. $\frac{-4}{\sqrt[3]{3}} + \frac{1}{\sqrt[3]{24}} - \frac{2}{\sqrt[3]{81}}$

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers.

$\frac{5}{\text{∛}2}-\frac{2}{\text{∛}16}+\frac{1}{\text{∛}54}$

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. 1/(2 + √5)

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. $\frac{\sqrt{7} - 1}{2\sqrt{7} + 4\sqrt{2}}$

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. (p - 4) / (√p + 2)

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. $\frac{3m}{2 + \sqrt{m + n}}$

Concept Check: By what number should the numerator and denominator of $\frac{1}{\text{∛}3-\text{∛}5}$ be multiplied in order to rationalize the denominator? Write this fraction with a rationalized denominator.

Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that x is not 0. -3x^-1/3

Write each root using exponents and evaluate. ∜81