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. Each pair can be taken out of the square root.

Front

What is the square root of 36?

Back

6

Front

What is the solution to the equation √x = 5?

Back

x = 25

Front

How do you solve the equation √(x + 3) = 7?

Back

Square both sides to get x + 3 = 49, then solve for x: x = 46.

Front

What does it mean to check your solution in radical equations?

Back

Checking your solution means substituting it back into the original equation to verify that it satisfies the equation.

Front

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

Back

No solution, because the square root of a number cannot be negative.

Front

How do you solve the equation x^2 = 81?

Back

Take the square root of both sides: x = ±9.

Front

What is the principal square root of 25?

Back

5

Front

What is the solution to the equation √(x - 2) = 3?

Back

x = 11.