Radicals and Rational Exponents

Front

Define a radical.

Back

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

Front

What is a rational exponent?

Back

Front

Back

x = 16.

Front

Which expression is equivalent to @@ ext{ } oot{2}{x}@@?

Back

Front

What is the cube root of a number?

Back

Front

Back

x = 3.

Front

What is the relationship between radicals and exponents?

Back

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

Front

Back

@@5 oot{3}{x}@@.

Front

Solve for x: @@8 - oot{(x + 12)} = 3@@

Back

x = 13.

Front

What does @@ oot{4}{16}@@ equal?

Back

4, because 4 multiplied by itself four times equals 16.