Radical Equation

Find the value of a.

• 4

• 5

• 6

• 7

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

Solve the equation.

• 25

• -29

• -3

• 3

• 9^2/3

Solve the equation.

• 16

• -16

• 8

• -8

• 32

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"

Solve for x

• x=27

• x=-3

• x=81

• x=3

• x=-27

Which expression with a fractional exponent best represents √7 ?

• 7^1/2

• 7^1/4

• 7^1/3

• 2^1/7

• 2⁷

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