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 are perfect squares.

Front

List the first five perfect squares.

Back

1, 4, 9, 16, 25.

Front

What is the square root of a number?

Back

The 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.

Front

What is the cube root of a number?

Back

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.

Front

Back

Front

What are the two square roots of 16?

Back

4 and -4.

Front

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

Back

64.

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs (for square roots) or triplets (for cube roots) to simplify.

Front

Back

9.

Front

Back

10.