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.

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.

Front

What is √a × √b?

Back

√a × √b = √(a × b) - This property allows you to multiply two square roots.

Front

What is √(a/b)?

Back

√(a/b) = √a / √b - This property allows you to divide two square roots.

Front

What is the simplified form of √(36)?

Back

6 - Since 36 is a perfect square.

Front

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

Back

x - The square root of x squared is x, assuming x is non-negative.

Front

How do you simplify √(12)?

Back

√(12) = √(4 × 3) = √4 × √3 = 2√3.

Front

What is the simplified form of √(50)?

Back

√(50) = √(25 × 2) = √25 × √2 = 5√2.

Front

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

Back

x^2 - The square root of x to the fourth power is x squared, assuming x is non-negative.

Front

What is the product of √(a) and √(a)?

Back

√(a) × √(a) = a - The product of a square root and itself gives the original number.