Simplifying Radicals + Rationalizing the Denominator

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer. For example, 1, 4, 9, 16, and 25 are perfect squares because they can be expressed as 1^2, 2^2, 3^2, 4^2, and 5^2 respectively.

Front

Which of the following is a perfect square: 8, 200, 225, 2?

Back

225 is a perfect square because it equals 15^2.

Front

Which of the following integers is NOT a perfect square: 9, 24, 100, 144?

Back

24 is not a perfect square.

Front

True or False? A radical is simplified when it has NO perfect square factors.

Back

True.

Front

What is the formula for the area of a square?

Back

The area of a square is given by the formula: Area = side length × side length or Area = side length^2.

Front

What is the perimeter of a square with a side length of 12 cm?

Back

The perimeter is 48 cm, calculated as 4 × 12 cm.

Front

What is the side length of a square with a perimeter of 50 cm?

Back

The side length is 12.5 cm, calculated as 50 cm ÷ 4.

Front

What is the area of a square with a side length of 10 m?

Back

The area is 100 m², calculated as 10 m × 10 m.

Front

Back

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.