Simplify 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 to simplify √(xy)?

Back

To simplify √(xy), you can separate it into √x * √y if both x and y are non-negative.

Front

What is the simplified form of √(a²b²)?

Back

√(a²b²) = ab.

Front

How do you simplify √(m²n)?

Back

√(m²n) = m√n, where m is non-negative.

Front

What is the first step in simplifying √(c²d)?

Back

The first step is to take out the perfect square, which gives c√d.

Front

What is the simplified form of √(36x³y⁴)?

Back

6y²x√x.

Front

How do you simplify √80?

Back

√80 = √(16*5) = 4√5.

Front

What is the simplified form of √(20a²b⁴)?

Back

2ab²√5.

Front

How do you simplify √(96p⁹)?

Back

√(96p⁹) = 4p⁴√6p.