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

x = 3 and x = -3.

Front

What does it mean if an equation has no solution?

Back

Front

Back

No Solution.

Front

What is the square root of 100?

Back

The square root of 100 is 10, because 10 x 10 = 100.

Front

Back

x = 10.

Front

Back

Front

Back

x = 5 and x = -5.

Front

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

Back

When you square both sides of an equation, you can eliminate square roots, but you must check for extraneous solutions.

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.