Simplifying Radicals Lessons 1 & 2 Review

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

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 of factors to take out of the radical.

Front

What is the square root of 16?

Back

The square root of 16 is 4.

Front

What is the simplified form of \( \sqrt{45} \)?

Back

The simplified form of \( \sqrt{45} \) is \( 3\sqrt{5} \).

Front

What is the perfect square of 25?

Back

The perfect square of 25 is 5, since \( 5^2 = 25 \).

Front

What does it mean for a number to be a perfect square?

Back

A perfect square is an integer that is the square of another integer.

Front

How do you simplify \( 4\sqrt{75} \)?

Back

To simplify \( 4\sqrt{75} \), factor 75 into \( 25 \times 3 \), so it becomes \( 4 \times 5\sqrt{3} = 20\sqrt{3} \).

Front

What is the simplified form of \( -3\sqrt{84} \)?

Back

The simplified form of \( -3\sqrt{84} \) is \( -6\sqrt{21} \).

Front

Which of the following is NOT a perfect square: \( \sqrt{800} \) or \( \sqrt{64} \)?

Back

\( \sqrt{800} \) is NOT a perfect square.

Front

What is the value of \( \sqrt{16} \)?

Back

The value of \( \sqrt{16} \) is 4.