Solving Radical Equations and Rational Exponent Equations

∛(x + 1) < 2

• [-1, 7)

• (- ∞, 7)

• [-1, 1)

• (7, + ∞)

∛(5x +4)  - 4 < 0

• [12, +∞)

• [ -⅘, 12)

• ( - ∞, - ⅘]

• ( -∞, 12 )

Solve the radical equation. Don't forget to check your answers!

• x = -6

• x = 3

• x = 7/3

• No Solution

Solve the Rational Exponent Equation:

• A

• B

• C

• D

Solve. (3x-5)^1/4+3=4

• 4/3

• 2

• -2

• -4/3

Solve. (2x-8)^2/3 = 4

• x = 8

• x = 0

• x = 7

• no solution

What is the first step to solving Radical Equations?

• Check for extraneous solutions.

• Raise each side of the equation to the power of the index.

• Isolate the radical on one side of equations.

• Solve the remaining equation.

• Convert from radical form to rational exponent form

Solve the equation.

• n = 27

• n = 18

• n = -18

• n = 36

• n = 12

Solve for m

• m=2

• m=-2 and m=18

• m=2 and m=-18

• m=-2 and m=-18

• m=2 and m=18

How would we say this if converted to radical form?

• "Thirty-two to the three-fifths"

• "Fifth root of thirty-two raised to the third power"

• "Third root of thirty-two raised to the fifth power"

• "Quintic root of thirty-two raised to the fifth power"

• "Thirty-two and three-fifths"