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

How do you simplify √a²?

Back

√a² = a, where a is a non-negative number.

Front

What is the process of simplifying radicals?

Back

The process involves finding perfect squares (or cubes) within the radical and rewriting the expression.

Front

Simplify 5√48x².

Back

20x√3.

Front

What is the value of √(a²b)?

Back

√(a²b) = a√b.

Front

How do you simplify √(m⁴n²)?

Back

√(m⁴n²) = m²n.

Front

What is the simplified form of √(36x²)?

Back

6x.

Front

Simplify √(75x²).

Back

5x√3.

Front

What is the simplified form of √(216t²)?

Back

6t√6.

Front

How do you simplify √(p⁹)?

Back

√(p⁹) = p⁴√p.