Simplifying 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?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is the square root of 36?

Back

6

Front

How do you simplify √(a^2)?

Back

√(a^2) = a, where a is a non-negative number.

Front

What is the product property of square roots?

Back

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

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a / b) = √a / √b, where b ≠ 0.

Front

Simplify √(4 * 9).

Back

√(4 * 9) = √36 = 6.

Front

What is the simplified form of √(x^2y)?

Back

√(x^2y) = x√y.

Front

Simplify √(50).

Back

√(50) = √(25 * 2) = 5√2.

Front

What is the simplified form of √(8x^4)?

Back

√(8x^4) = 2x^2√2.