6. Radicals & Rational Exponents

Front

Define a radical.

Back

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

Front

What is a rational exponent?

Back

Front

Convert @@ oot{5}{x^3}@@ to a rational exponent.

Back

Front

Solve for x: @@-2 = -5 + oot{2}{x + 7}@@.

Back

Front

What is the cube root of a number?

Back

Front

Solve for n: @@ oot{3}{x - 9} = 3@@.

Back

Front

Simplify the radical: @@ oot{20 imes a^4 imes b^3}@@.

Back

@@2a^2b oot{5b}@@.

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

Solve for x: @@ oot{x - 6} = oot{36 - 2x}@@.

Back

Front

What is the square root of a number?

Back