Radicals and Rational Exponents

• 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.

• 36
• 18
• -18
• 27

• 10

• 8

• 16

• 4

x = _____

• Subtract 9 from each side

• Subtract 5 from each side

• Square each side to eliminate the radical

• Divide each side by 4

• 7²
• 7^1/2
• 7^-2
• 7^-1/2

• 4^4/3
• 4^3/4
• 2^4/3
• 2^3/4

• 216
• 6^1/2
• 6²
• 6^3/2

• 2^1/6
• 64
• 6^1/2
• 2⁶