Solutions to Squaring the Root

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 and check your solution(s).

• x = 1

• x = 9

• x = all real solutions

• x = 9, 1

Solve.  Remember to check for extraneous solutions. 

• {-3}

• {6}

• {-5,6}

• {-5}

What operation is the INVERSE of taking the square root?

• Taking the square root

• Multiplying by 2

• Squaring

• There is no way to undo a square root

Lina solved the problem below but she made an error. What is Lina's mistake?

• She should subtract 5 from both sides before squaring

• She should add 8 and 3 before squaring

• She should subtract 3 from both sides instead of adding 8 + 3

• She should subtract 3 from both sides before squaring

What is the mistake in this problem?

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• x=1

• x=-6

• x=2.5

• x=-2

What is the inverse operation of square rooting?

• Cube Roots

• Squaring

• Multiplication

• Absolute Value

• 5

• 4

• 41

• 82

• Dividing

• Cubing

• Squaring

• Subtracting

• Multiplying