Solving Equations with Square Roots

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 x 3 = 9.

Front

Back

This equation means that the square root of x is equal to 9. To find x, you would square both sides of the equation.

Front

Back

Square both sides: x = 9^2 = 81.

Front

Back

Square both sides: x = 4^2 = 16.

Front

Back

This equation means that x squared equals 16. To find x, you can take the square root of both sides.

Front

Back

The solutions are x = 4 and x = -4.

Front

What is the principle of squaring both sides of an equation?

Back

Squaring both sides of an equation is a method used to eliminate square roots, allowing you to solve for the variable.

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, and 16 are perfect squares.

Front

How do you check if your solution to a square root equation is correct?

Back

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

Front

What is the square root of 0?

Back

The square root of 0 is 0, since 0 x 0 = 0.