Simplify Radical Expressions

Front

What is 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

How do you simplify @@ ext{-3} ext{ } oot{2}{25}@@?

Back

@@-3 ext{ } oot{2}{25} = -15@@.

Front

What is the simplified form of @@ oot{2}{200}@@?

Back

@@ oot{2}{200} = 10 ext{ } oot{2}{2}@@.

Front

How do you simplify @@2 ext{ } oot{2}{40}@@?

Back

@@2 ext{ } oot{2}{40} = 4 ext{ } oot{2}{10}@@.

Front

What is the simplified form of @@ oot{2}{50x^4}@@?

Back

@@ oot{2}{50x^4} = 5x^2 ext{ } oot{2}{2}@@.

Front

How do you simplify @@3x ext{ } oot{2}{50x^2y}@@?

Back

@@3x ext{ } oot{2}{50x^2y} = 15x^2 ext{ } oot{2}{2y}@@.

Front

What is the product property of square roots?

Back

The product property states that @@ oot{2}{a} imes oot{2}{b} = oot{2}{a imes b}@@.

Front

What is the quotient property of square roots?

Back

The quotient property states that @@ oot{2}{rac{a}{b}} = rac{ oot{2}{a}}{ oot{2}{b}}@@.

Front

How do you simplify @@ oot{2}{x^4}@@?

Back

@@ oot{2}{x^4} = x^2@@.

Front

What is the definition of 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.