Test Review - Radicals & Rational Exponents

Front

Define 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}@@.

Front

What is a rational exponent?

Back

Front

Simplify the radical: @@ ext{ } oot{3}{27}@@.

Back

Front

What is the product property of radicals?

Back

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

Front

What is the quotient property of radicals?

Back

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

Front

Solve for x: @@ oot{2}{x} = 4@@.

Back

Front

What is the relationship between radicals and rational exponents?

Back

Radicals can be expressed as rational exponents. For example, @@ oot{n}{x} = x^{rac{1}{n}}@@.

Front

Simplify the expression: @@ oot{4}{x^8}@@.

Back

Front

What is the definition of a perfect square?

Back

Front

Solve for x: @@ oot{3}{x} = 2@@.

Back