Rationalizing the Denominator

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

What does it mean to simplify a radical?

Back

A radical is simplified when it has no perfect square factors other than 1.

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer, such as 1, 4, 9, 16, etc.

Front

Which of the following is a perfect square: 1, 2, 3, 4?

Back

4 is a perfect square because it is 2 squared.

Front

True or False? The square root of 25 is 5.

Back

True.

Front

How do you rationalize the denominator of a fraction?

Back

To rationalize the denominator, multiply the numerator and denominator by a suitable radical that will eliminate the radical in the denominator.

Front

What is the square root of 144?

Back

12.

Front

Which integer is NOT a perfect square: 16, 25, 30, 36?

Back

30 is not a perfect square.

Front

What is the result of √(a^2)?

Back

The result is |a|, the absolute value of a.

Front

If √x = 5, what is the value of x?

Back

x = 25.