Radicals with Variables Practice

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents 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 product property of square roots?

Back

√(a) * √(b) = √(a * b) for non-negative a and b.

Front

How do you simplify √(x²y)?

Back

√(x²y) = x√y, where x is non-negative.

Front

What is the quotient property of square roots?

Back

√(a/b) = √(a) / √(b) for non-negative a and b.

Front

How do you simplify √(48)?

Back

√(48) = √(16 * 3) = 4√3.

Front

What is the simplified form of 5√48x²?

Back

5√48x² = 5 * 4√3 * x = 20x√3.

Front

How do you simplify √(p⁹)?

Back

√(p⁹) = p⁴√p.

Front

What is the simplified form of √(96p⁹)?

Back

√(96p⁹) = √(16 * 6 * p⁹) = 4p⁴√6p.

Front

What is the simplified form of √(28m⁴n³)?

Back

√(28m⁴n³) = √(4 * 7 * m⁴ * n² * n) = 2m²n√7n.