0. Review of Algebra

_If x=−2, then √x⁶ = x³.

Perform the indicated operations. Assume all variables represent positive real numbers. (3√2 + √3) (2√3 - √2)

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. 5/√2

Between which two consecutive integers is -√26? Do not use a calculator.

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. √(x⁵y³)/z²

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. (∛mn • ∛m²) / ∛n²

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. (-4 /∛3 ) + (1/∛24) - ( 2/∛81)

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. ( 5/∛2) - ( 2/∛16) + (1/∛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. (√7 - 1) / (2√7 + 4√2)

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