Radical Expressions

Front

Simplify the expression: 100√2

Back

20√10

Front

Simplify the expression: 6a^5b^3√3b

Back

6a^5b^3√3b

Front

Simplify the expression: 2a^5b^3√54b

Back

6a^5b^3√3b

Front

Re-write the expression in radical form: x^(2/3)

Back

∛x^2

Front

Write in exponential form: ∛x⁷

Back

x^(7/3)

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 root, 3 for cube root.

Front

How do you simplify √(a^2)?

Back

√(a^2) = a, assuming a is non-negative.

Front

What is the product property of radicals?

Back

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

Front

What is the quotient property of radicals?

Back

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