Simplifying Radical Expressions

Front

Simplify √(32a³)

Back

4a√(2a)

Front

Simplify: 2√12

Back

4√3

Front

Rewrite with exponents: ∛(x⁷)

Back

x⁷/3

Front

Simplify completely: 3v√2v

Back

3v√2v

Front

Simplify: 2√18a⁶b²

Back

6a³b√2

Front

What is a radical expression?

Back

An expression that includes a root, such as a square root or cube root.

Front

What is the index of a radical?

Back

The index indicates the degree of the root, e.g., 2 for square roots, 3 for cube roots.

Front

How do you simplify √(a²)?

Back

√(a²) = a, assuming a is non-negative.

Front

What is the product property of square roots?

Back

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

Front

What is the quotient property of square roots?

Back

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