A2-5.4 & 5.5 FLASHCARD Simplify Radicals with Variables

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, typically the square root. For example, @@ adical{a}@@ represents the square root of a.

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors, and then take out pairs of factors as whole numbers.

Front

What is the square root of 16?

Back

Front

Simplify @@ adical{96}@@.

Back

@@ adical{96} = 4 adical{6}@@.

Front

What is the product property of radicals?

Back

The product property states that @@ adical{a} imes adical{b} = adical{a imes b}@@.

Front

What is the quotient property of radicals?

Back

The quotient property states that @@rac{ adical{a}}{ adical{b}} = adical{rac{a}{b}}@@.

Front

Simplify @@ adical{20a^2b^4}@@.

Back

@@ adical{20a^2b^4} = 2ab^2 adical{5}@@.

Front

What is the simplified form of @@ adical{98b}@@?

Back

@@ adical{98b} = 7 adical{2b}@@.

Front

How do you simplify @@-3 adical{20x^4y^2}@@?

Back

@@-3 adical{20x^4y^2} = -6x^2y adical{5}@@.

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.