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 does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is the square root of 243?

Back

9√3

Front

How do you simplify √200?

Back

10√2

Front

What is the simplified form of √60?

Back

2√15

Front

What is the simplified form of √72?

Back

6√2

Front

In simplest radical form, what is √75?

Back

5√3

Front

What is the first step in simplifying a radical?

Back

Factor the number under the radical into its prime factors.

Front

What is the relationship between perfect squares and simplifying radicals?

Back

Perfect squares can be taken out of the radical as their square root.

Front

How do you express √(a*b) in terms of radicals?

Back

√(a*b) = √a * √b.