Simplifying Radicals with Variables

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 a number?

Back

Front

Back

@@rac{3 oot{2}{15}}{5}@@.

Front

What is the process of simplifying radicals?

Back

The process of simplifying radicals involves rewriting the radical expression in its simplest form, often by factoring out perfect squares.

Front

Simplify @@ ext{ } oot{18} - ext{ } oot{12}@@.

Back

@@ ext{ } oot{2}@@.

Front

What is the simplified form of @@ ext{ } oot{72a^3b}@@?

Back

@@6a oot{2b}@@.

Front

How do you combine like radicals?

Back

You can combine like radicals by adding or subtracting their coefficients if they have the same radicand.

Front

Simplify @@10 ext{ } oot{45} - ext{ } oot{20}@@.

Back

@@28 ext{ } oot{5}@@.

Front

What is the simplified form of @@ ext{ } oot{8p^2q^3}@@?

Back

@@2pq oot{2q}@@.

Front

Define a perfect square.

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16 are perfect squares.