ITCA Warm-Up (Radical Expressions)

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, 25, etc.

Front

List the first five perfect squares.

Back

1, 4, 9, 16, 25.

Front

What is the square root of 121?

Back

11.

Front

What are the two square roots of 16?

Back

4 and -4.

Front

What is a perfect cube?

Back

A perfect cube is a number that can be expressed as the cube of an integer. For example, 1, 8, 27, 64, etc.

Front

Which number is both a perfect square and a perfect cube?

Back

64.

Front

Define like radicals.

Back

Like radicals are radical expressions that have the same degree (index) and the same radicand.

Front

What is the degree of a radical expression?

Back

The degree (or index) of a radical expression indicates the root being taken. For example, in @@ oot{3}{x}@@, the degree is 3.

Front

What is a radicand?

Back

A radicand is the number or expression inside a radical symbol. For example, in @@ oot{2}{x}@@, x is the radicand.

Front

How do you simplify @@ oot{4}{16}@@?

Back

@@ oot{4}{16} = 2@@.