6.1 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 of simplifying radicals?

Back

The process involves factoring the number under the radical into perfect squares and simplifying.

Front

What is √(ab)?

Back

√(ab) = √a * √b, where a and b are non-negative numbers.

Front

How do you simplify √(m⁴)?

Back

√(m⁴) = m², since m² is the square root of m⁴.

Front

What is the simplified form of √(n²)?

Back

√(n²) = n, where n is a non-negative number.

Front

What is the simplified form of √(x²y²)?

Back

√(x²y²) = xy.

Front

How do you simplify √(48)?

Back

√(48) = √(16*3) = 4√3.

Front

What is the simplified form of √(80)?

Back

√(80) = √(16*5) = 4√5.

Front

How do you simplify √(20a²b⁴)?

Back

√(20a²b⁴) = √(4*5*a²*b⁴) = 2ab²√5.