6.3 Solving Radicals

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root or cube root.

Front

How do you simplify the square root of a number?

Back

To simplify the square root of a number, factor the number into its prime factors and pair them to take them out of the radical.

Front

What is the square root of 36?

Back

6

Front

What is the process to solve a radical equation?

Back

Isolate the radical on one side, square both sides to eliminate the radical, and then solve the resulting equation.

Front

Solve the equation: √x = 6

Back

x = 36

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.

Front

Solve the equation: √(x + 4) = 8

Back

x = 60

Front

What is the square root of 125?

Back

5√5

Front

How do you check your solution for a radical equation?

Back

Substitute the solution back into the original equation to verify if both sides are equal.

Front

Solve the equation: √(2x - 1) = 3

Back

x = 5