Solving Radicals and Radical Inverses

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

Solve the equation.

• n = 27

• n = 18

• n = -18

• n = 36

• n = 12

Rewrite in rational exponent form

• 4^4/3
• 4^3/4
• 2^4/3
• 2^3/4
• Cannot because the cubic root of 4 is not an integer

Which expression with a fractional exponent best represents √7 ?

• 7^1/2

• 7^1/4

• 7^1/3

• 2^1/7

• 2⁷

• x = -6
• x = 3
• x = -3
• x = 5±