P.2 Adding and Subtracting Radicals

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 the square root of 12?

Back

The square root of 12 can be simplified to @@2 oot{2}{3}@@.

Front

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

Back

Front

What is the process for adding radicals?

Back

To add radicals, ensure they have the same index and radicand. If they do, combine the coefficients.

Front

Subtract @@2x oot{2}{12xy^2} - y oot{2}{75x^3}@@.

Back

The result is @@-xy oot{2}{3x}@@.

Front

What is the simplified form of @@ oot{2}{75}@@?

Back

The simplified form is @@5 oot{2}{3}@@.

Front

How do you subtract @@ oot{2}{a} - oot{2}{b}@@?

Back

Front

Simplify @@12 oot{2}{x} - 8 oot{2}{x} + 16 oot{2}{x}@@.

Back

The result is @@20 oot{2}{x}@@.

Front

What is a like radical?

Back

Front

What is the first step in adding or subtracting radicals?

Back

Identify if the radicals are like radicals; if they are not, they cannot be combined.