Radicals with Variables

Front

What is a radical?

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 expression?

Back

To simplify a radical expression means to rewrite it in a simpler form, often by factoring out perfect squares.

Front

Simplify: √a²

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: √(36)

Back

6

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.

Front

Simplify: 2√(4)

Back

4

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction, while irrational numbers cannot be expressed as a fraction.

Front

Simplify: 3√(16) - 2√(4)

Back

6

Front

What is the value of √(x²) when x = -5?

Back

5