Combining Like Radicals and Properties

Front

Define like radicals.

Back

Like radicals are terms that have the same radicand (the number inside the radical) and can be combined through addition or subtraction.

Front

What is the property of combining like radicals?

Back

The property states that only like radicals can be combined. For example, @@ ext{if } a = ext{radical}(x) ext{ and } b = ext{radical}(x), ext{ then } a + b = 2 ext{radical}(x).$$

Front

Back

@@3 ext{√5}$$

Front

Back

@@ ext{√7}$$

Front

Back

@@10 ext{√3}$$

Front

Back

@@9 ext{∛4}$$

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, such as the square root (√) or cube root (∛).

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect squares or cubes from under the radical sign.

Front

What is the square root of 20 in simplified form?

Back

@@2 ext{√5}$$

Front

What is the cube root of 64?

Back

@@4$$