MF 2: Simplifying Radicals & Rationalizing Denominators

Front

What is a radical in mathematics?

Back

A radical is a symbol used to indicate the root of a number, most commonly the square 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 square factors.

Front

Simplify: √12

Back

2√3

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator involves eliminating any radicals from the denominator of a fraction.

Front

Rationalize the denominator: 1/√2

Back

√2/2

Front

What is the square root of 16?

Back

4

Front

Simplify: √(a^2)

Back

a (for a ≥ 0)

Front

What is the product property of square roots?

Back

The product property states that √(a * b) = √a * √b.

Front

Simplify: √(18)

Back

3√2

Front

What is the sum property of square roots?

Back

The sum property states that √a + √b cannot be simplified further unless a and b are perfect squares.