Simplifying Radicals Flashcard

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, 25, etc. are perfect squares.

Front

Identify a number that is NOT a perfect square: 49, 81, 111, 144.

Back

111 is NOT a perfect square.

Front

Simplify the radical: √300

Back

10√3

Front

What is the process of simplifying a radical?

Back

To simplify a radical, factor the number under the radical into its prime factors and then extract any perfect squares.

Front

Back

3x^2√2

Front

What is the simplified form of 4√75?

Back

20√3

Front

Simplify the radical: √72

Back

6√2

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.

Front

What is the relationship between perfect squares and square roots?

Back

The square root of a perfect square is always an integer.

Front

Back

The simplified form is |a|, which is the absolute value of a.