Solving Square Root and Cube Root Equations

Front

What is a square root?

Back

A square root of a number x is a value y such that y² = x. For example, the square root of 9 is 3.

Front

How do you solve a square root equation?

Back

To solve a square root equation, isolate the square root on one side and then square both sides of the equation.

Front

What is a cube root?

Back

A cube root of a number x is a value y such that y³ = x. For example, the cube root of 27 is 3.

Front

How do you solve a cube root equation?

Back

To solve a cube root equation, isolate the cube root on one side and then cube both sides of the equation.

Front

What is the square root of 16?

Back

4

Front

What is the cube root of 64?

Back

4

Front

If x² = 25, what is x?

Back

x = 5 or x = -5.

Front

If x³ = 27, what is x?

Back

x = 3.

Front

What is the principal square root?

Back

The principal square root is the non-negative root of a number. For example, the principal square root of 9 is 3.

Front

What is the relationship between square roots and perfect squares?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16 are perfect squares.