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 solution to the equation x^2 = 25?

Back

x = 5 or x = -5

Front

How do you solve a radical equation?

Back

To solve a radical equation, isolate the radical on one side and then square both sides to eliminate the radical.

Front

What is the solution to the equation √x = 4?

Back

x = 16

Front

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

Back

It means that there are no values for the variable that satisfy the equation.

Front

What is the solution to the equation √(x + 4) = 2?

Back

x = 0

Front

How do you check your solution in a radical equation?

Back

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

Front

What is the square root of 125?

Back

5√5