Radicals: Simplifying and Solving

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

• Dividing

• Cubing

• Squaring

• Subtracting

• Multiplying

• Dividing

• Cubing

• Squaring

• Subtracting

• Multiplying

•  Subtract 5 from both sides

•  Add 5 to both sides

•  Take the cubic root from both sides

•  Translate left 4 and up 5

• Bring the 1 over to the left side

The number under the radical sign is called the ______.

• divisor

• radicand
• root

• exponent
• index

Solve the radical equation: $11=2+\sqrt{90-x}$ 

• x = 9

• x = 82

• x = -9

• x = -82

Solve the radical equation: $\sqrt{x-5}=\sqrt{23-x}$ 

• x = -14

• x = 14

• No Solution

• x = 28

Solve the radical equation: $6+\sqrt{6-15x}=15$  

• x = -5

• x = 1/5

• No Solution

• x = -1