Simplifying Radicals

Front

Define a radical.

Back

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

Front

What is the square root of a number?

Back

The square root of a number x is a value that, when multiplied by itself, gives x.

Front

Simplify √96.

Back

4√6

Front

Simplify √300.

Back

10√3

Front

Simplify -10√20.

Back

-20√5

Front

Simplify -6√90.

Back

-18√10

Front

Simplify √150.

Back

5√6

Front

What is the process of simplifying radicals?

Back

The process involves breaking down the number under the radical into its prime factors and simplifying it by taking out pairs of factors.

Front

What is the prime factorization of 96?

Back

2^5 × 3.

Front

What is the prime factorization of 300?

Back

2^2 × 3 × 5^2.