Geo 8.3 Assign: Simplifying 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, √x is a radical expression.

Front

What does it mean to simplify a radical expression?

Back

To simplify a radical expression means to rewrite it in a simpler form, often by removing perfect squares or cubes from under the radical sign.

Front

Simplify: √25

Back

5

Front

Simplify: √(4 * 9)

Back

6

Front

What is the square root of a number?

Back

The square root of a number x is a value that, when multiplied by itself, gives x. For example, √16 = 4 because 4 * 4 = 16.

Front

Simplify: √(a^2)

Back

a (assuming a is non-negative)

Front

What is the product property of square roots?

Back

The product property states that √(a * b) = √a * √b for any non-negative numbers a and b.

Front

Simplify: √300 + √75

Back

15√3

Front

What is the sum property of square roots?

Back

The sum property states that √a + √b cannot be simplified unless a and b have a common factor under the radical.

Front

Simplify: 2√5 + 3√5

Back

5√5