Simplifying Radicals-(also 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 simplified form of √(xy)?

Back

√(xy) = √x * √y.

Front

How do you simplify √(a*b)?

Back

√(a*b) = √a * √b.

Front

What is the simplified form of √(x²y)?

Back

√(x²y) = x√y.

Front

How do you simplify √(m²n³)?

Back

√(m²n³) = mn√n.

Front

What is the simplified form of √(12)?

Back

√(12) = 2√3.

Front

How do you simplify √(a²b²)?

Back

√(a²b²) = ab.

Front

What is the simplified form of √(45)?

Back

√(45) = 3√5.

Front

How do you simplify √(x² + 2x + 1)?

Back

√(x² + 2x + 1) = √((x+1)²) = x + 1.