Simplifying Radical Expressions

Front

Simplify: 2√18a⁶b²

Back

6a³b√2

Front

Simplify: 2√12

Back

4√3

Front

Simplify: √(32a³)

Back

4a√(2a)

Front

In the expression √x, what is the 'x' called?

Back

The radicand

Front

In the expression ∛x⁵y⁶z¹⁰, what is the simplified form?

Back

xy²z³∛x²z

Front

What is the index in a radical expression?

Back

The number that indicates the root being taken (e.g., 2 in √x, 3 in ∛x).

Front

What is a radical expression?

Back

An expression that includes a root symbol (√ or ∛) and a radicand.

Front

How do you simplify √(a²)?

Back

a, since the square root of a squared number is the number itself.

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.