Flashcard 2: GCF and Simplifying Radicals

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 64 and 144?

Back

16

Front

What is the GCF of 4 and 12?

Back

4

Front

What is the GCF of 18 and 24?

Back

6

Front

Simplify √96p⁹.

Back

4p⁴√6p

Front

What is the formula for simplifying radicals?

Back

To simplify a radical, factor the number under the radical into its prime factors and pair them to take them out of the radical.

Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression means to rewrite it in its simplest form, removing any perfect squares from under the radical.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the product of an integer with itself, such as 1, 4, 9, 16, etc.

Front

How do you calculate a percentage discount?

Back

To calculate a percentage discount, multiply the original price by the discount percentage and subtract that amount from the original price.