0. Review of Algebra

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. 3m / 2 + (√m + n)

Concept Check: By what number should the numerator and denominator of 1/(∛3 - ∛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. (b) -3x^-1/3

Write each root using exponents and evaluate. ∜81

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent posi-tive real numbers. -12x^1/2

Find each root. √(-12)²

Solve: √x + √(x + 5) = 5

Solve: 2x^(2/3) - 5x^(1/3)-3 = 0.

Solve without squaring both sides:5 - (2/x) = √(5 - 2/x).

In Exercises 101–106, solve each equation.|√x - 5| = 2

Solve each radical equation in Exercises 11–30. Check all proposed solutions.√(1 + 4√x) = 1 + √x

Solve each equation for the specified variable. (Assume all denominators are nonzero.) d=k√h, for h