Solving Equations with Radicals and Rational Exponents

Solve. (6x-3)^2/3 + 6 = 15

• x = -5, x = 4

• x = 5

• x = 5, x = -4

• no solution

Solve.

• x = -7, x = -2

• x = 7, x = 2

• x = - 7/4

• no solution

• 10

• 8

• 16

• 4

Solve

• 8

• 38

• 34

• 14

• 5

• 4

• 41

• 82

• 1

• 3

• 224

• 226

What is the first step of 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.

Write with a rational exponent.

• 7³

• 7

• 7^3/4

• 7^4/3

Write with a rational exponent.

• 7²

• 7^1/2

• 7^-2

• 7^-1/2