Simplifying and Multiplying Radical Expressions

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, @@ ext{radical expression} = ext{ } oot{n}{x}@@.

Tags

CCSS.8.NS.A.1

Front

Back

Tags

CCSS.HSN.RN.A.2

Front

What is the product property of square roots?

Back

The product property states that @@ ext{ } oot{n}{a} imes oot{n}{b} = oot{n}{a imes b}@@.

Tags

CCSS.HSN.RN.A.2

Front

How do you multiply two radical expressions?

Back

To multiply two radical expressions, use the product property: @@ oot{n}{a} imes oot{n}{b} = oot{n}{a imes b}@@.

Front

What is the square of a square root?

Back

The square of a square root is the original number: @@ ext{ } oot{n}{x}^2 = x@@.

Tags

CCSS.HSN.RN.A.2

Front

How do you simplify @@ ext{ } oot{n}{x^m}@@?

Back

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction.

Front

How do you simplify @@ ext{ } oot{n}{a^2}@@?

Back

@@ ext{ } oot{n}{a^2} = a^{rac{2}{n}}@@.

Front

What is the sum property of square roots?

Back

The sum property states that @@ ext{ } oot{n}{a} + oot{n}{b}@@ cannot be simplified into a single radical unless a and b are perfect nth powers.

Front

How do you simplify @@ ext{ } oot{n}{a} imes oot{n}{b}@@?

Back

Use the product property: @@ ext{ } oot{n}{a} imes oot{n}{b} = oot{n}{a imes b}@@.