Radical Equations

Front

What is the inverse of squaring a number?

Back

Square root

Front

Solve the radical equation: √(x + 4) = 2

Back

x = 0

Front

Solve the radical equation: √(x - 1) = 3

Back

x = 10

Front

Solve the radical equation: √(2x + 3) = 5

Back

x = 11

Front

What is a radical equation?

Back

An equation that contains a variable within a radical (square root, cube root, etc.)

Front

How do you isolate a radical in an equation?

Back

By moving all other terms to the opposite side of the equation.

Front

What is the first step in solving the equation √(x) = 4?

Back

Square both sides to eliminate the radical.

Front

Solve the radical equation: √(x + 5) = 7

Back

x = 44

Front

What must you do after squaring both sides of a radical equation?

Back

Check for extraneous solutions.

Front

Solve the radical equation: √(3x - 1) = 4

Back

x = 5