Simplifying Radical Expressions

Front

Simplify √(32a³)

Back

4a√(2a)

Front

Rewrite with exponents: ∛(x⁷)

Back

x⁷/3

Front

Simplify completely: 3v√2v

Back

3v√2v

Front

Simplify: 2√12

Back

4√3

Front

Simplify: 8x⁹

Back

8x⁴√x

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 square root of a number?

Back

A value that, when multiplied by itself, gives the original number.

Front

How do you simplify √(a²)?

Back

The simplification is a, since √(a²) = a.

Front

What is the product property of square roots?

Back

√(a) * √(b) = √(a*b) 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.