Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent the root of a number, most commonly the square root.

Front

What is the square root of 16?

Back

4

Front

How can √24 be simplified?

Back

√24 can be simplified to 2√6.

Front

What is the process to simplify √28?

Back

To simplify √28, factor it into √(4*7) = √4 * √7 = 2√7.

Front

What is the simplified form of 5√100?

Back

5√100 simplifies to 50 because √100 = 10, so 5 * 10 = 50.

Front

What is the square root of 45?

Back

√45 simplifies to 3√5.

Front

What is the general method for simplifying radicals?

Back

To simplify radicals, factor the number under the radical into its prime factors and look for pairs of factors.

Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression means rewriting it in its simplest form, removing any perfect square factors.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

List the first five perfect squares.

Back

The first five perfect squares are 1, 4, 9, 16, and 25.