Simplifying Radicals

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

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 24 in simplest radical form?

Back

2√6

Front

What is the square root of 28 in simplest radical form?

Back

2√7

Front

What is the square root of 45 in simplest radical form?

Back

3√5

Front

What is the square root of 125 in simplest radical form?

Back

5√5

Front

In simplest radical form, what is √80?

Back

4√5

Front

How do you find the prime factorization of a number?

Back

To find the prime factorization, divide the number by the smallest prime number until you reach 1.

Front

What is the prime factorization of 24?

Back

2^3 × 3

Front

What is the prime factorization of 28?

Back

2^2 × 7