0. Review of Algebra

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. $\mid \sqrt{x}-5\mid =2$

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $\sqrt{1+4\sqrt{x}}=1+\sqrt{x}$

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

In Exercises 45–54, rationalize the denominator. 2/√10

Rationalize the denominator. √2/√3

In Exercises 45–54, rationalize the denominator. 13/(3+√11)

In Exercises 50 - 53, rationalize the denominator. 14/(√7 - √5)

Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. √48x³/√3x

Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. $\sqrt{\frac{1}{49}}$

Simplify the radical expressions in Exercises 67–74, if possible. ³√150

In Exercises 91–100, simplify using properties of exponents. (25x⁴y⁶)^1/2

In Exercises 91–100, simplify using properties of exponents. (3y^1/4)³/y^1/12

Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. √36