Solving Radical Equations

Front

What is a radical equation?

Back

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

Front

How do you isolate a variable in a radical equation?

Back

Square both sides of the equation to eliminate the radical, then solve for the variable.

Front

Solve using square roots: k² - 6 = 43

Back

k = 7, k = -7

Front

Solve using square roots: 5b² - 4 = 41

Back

b = 3, b = -3

Front

What is the principal square root of a number?

Back

The non-negative square root of a number.

Front

Solve using square roots: x² = 25

Back

x = 5, x = -5

Front

What is the first step in solving the equation √(x + 3) = 5?

Back

Square both sides to eliminate the square root.

Front

Solve the radical equation: √(v) = 9

Back

v = 81

Front

What does it mean if a radical equation has no real solution?

Back

It means that the equation cannot be satisfied by any real number.

Front

Solve: 2√(x) = 10

Back

x = 25